Cremona's table of elliptic curves

3818 = 2 · 23 · 83

Field	Data	Notes
Atkin-Lehner	2- 23+ 83-	Signs for the Atkin-Lehner involutions
Class	3818d	Isogeny class
Conductor	3818	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	3584	Modular degree for the optimal curve
Δ	-719372288 = -1 · 214 · 232 · 83	Discriminant
Eigenvalues	2-  1 -4 -1 -1  4  7  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-565,5281]	[a1,a2,a3,a4,a6]
Generators	[-6:95:1]	Generators of the group modulo torsion
j	-19948814692561/719372288	j-invariant
L	4.7961539194213	L(r)(E,1)/r!
Ω	1.5950904571088	Real period
R	0.10738651883002	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30544r1 122176e1 34362e1 95450b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3818d1

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
-	1	-4	-1	-1	4	7	6	+	-9	-7	-11	-2	-10	-6	12	-5	-15	14	10	-6	-8	-	-10	-4

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Quadratic twists for elliptic curve 3818d1

-4	8	-3	5	-23
30544r1	122176e1	34362e1	95450b1	87814e1

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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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