Cremona's table of elliptic curves

3136 = 2⁶ · 7²

Field	Data	Notes
Atkin-Lehner	2+ 7-	Signs for the Atkin-Lehner involutions
Class	3136d	Isogeny class
Conductor	3136	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-10578455953408 = -1 · 218 · 79	Discriminant
Eigenvalues	2+  0  0 7- -4  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6860,268912]	[a1,a2,a3,a4,a6]
j	-3375	j-invariant
L	1.367057817189	L(r)(E,1)/r!
Ω	0.68352890859449	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3136r3 49a3 28224bn3 78400v3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3136d3

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	0	-	-4	0	0	0	8	-2	0	6	0	12	0	10	0	0	-4	16	0	8	0	0	0

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Quadratic twists for elliptic curve 3136d3

-4	8	-3	5	-7
3136r3	49a3	28224bn3	78400v3	3136d1

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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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