Cremona's table of elliptic curves

3718 = 2 · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	3718l	Isogeny class
Conductor	3718	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-3538822144 = -1 · 210 · 112 · 134	Discriminant
Eigenvalues	2-  2  3 -2 11+ 13+  1  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-453684,-117808267]	[a1,a2,a3,a4,a6]
j	-361585288790756017/123904	j-invariant
L	5.5186447538861	L(r)(E,1)/r!
Ω	0.091977412564768	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29744bf1 118976bm1 33462bl1 92950f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3718l1

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
-	2	3	-2	+	+	1	6	8	1	0	3	-11	4	6	11	-14	5	-6	4	-11	-6	2	6	6

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Quadratic twists for elliptic curve 3718l1

-4	8	-3	5	-11	13
29744bf1	118976bm1	33462bl1	92950f1	40898p1	3718h1

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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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