Cremona's table of elliptic curves

3136 = 2⁶ · 7²

Field	Data	Notes
Atkin-Lehner	2- 7-	Signs for the Atkin-Lehner involutions
Class	3136ba	Isogeny class
Conductor	3136	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	188900999168 = 215 · 78	Discriminant
Eigenvalues	2- -2  0 7-  4 -4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1633,13887]	[a1,a2,a3,a4,a6]
Generators	[-19:196:1]	Generators of the group modulo torsion
j	125000/49	j-invariant
L	2.4322181026187	L(r)(E,1)/r!
Ω	0.91805238911886	Real period
R	1.3246619318496	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3136z2 1568c2 28224fh2 78400ih2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3136ba2

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	0	-	4	-4	2	-6	8	-2	4	-10	10	-4	-4	2	10	-8	8	0	6	-16	2	-18	2

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Quadratic twists for elliptic curve 3136ba2

-4	8	-3	5	-7
3136z2	1568c2	28224fh2	78400ih2	448d2

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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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