Cremona's table of elliptic curves

3108 = 2² · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 37-	Signs for the Atkin-Lehner involutions
Class	3108j	Isogeny class
Conductor	3108	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-48335616 = -1 · 28 · 36 · 7 · 37	Discriminant
Eigenvalues	2- 3- -3 7-  3 -1 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-77,399]	[a1,a2,a3,a4,a6]
Generators	[-11:6:1]	Generators of the group modulo torsion
j	-199794688/188811	j-invariant
L	3.5235023130717	L(r)(E,1)/r!
Ω	1.8338871303696	Real period
R	0.96066498715262	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	12432be1 49728p1 9324i1 77700b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3108j1

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
-	-	-3	-	3	-1	-6	-4	6	0	-7	-	6	-10	0	3	-3	-10	-7	3	-4	2	-12	-3	5

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Quadratic twists for elliptic curve 3108j1

-4	8	-3	5	-7	37
12432be1	49728p1	9324i1	77700b1	21756i1	114996r1

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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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