Cremona's table of elliptic curves

3102 = 2 · 3 · 11 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 47-	Signs for the Atkin-Lehner involutions
Class	3102c	Isogeny class
Conductor	3102	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	293760	Modular degree for the optimal curve
Δ	-4.3565940803046E+22	Discriminant
Eigenvalues	2+ 3-  0  2 11+ -4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,2018969,-9981207190]	[a1,a2,a3,a4,a6]
Generators	[79258918761422:48824853998938720:208527857]	Generators of the group modulo torsion
j	910149999888914847380375/43565940803046185238528	j-invariant
L	3.0971290119976	L(r)(E,1)/r!
Ω	0.05462194921662	Real period
R	18.900393562271	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	24816l1 99264k1 9306l1 77550bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3102c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	2	+	-4	3	-4	-3	-3	-10	8	-12	8	-	-9	-9	-1	5	-12	11	14	-12	-6	5

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Quadratic twists for elliptic curve 3102c1

-4	8	-3	5	-11
24816l1	99264k1	9306l1	77550bd1	34122v1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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