Cremona's table of elliptic curves

196 = 2² · 7²

Field	Data	Notes
Atkin-Lehner	2- 7-	Signs for the Atkin-Lehner involutions
Class	196a	Isogeny class
Conductor	196	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	6	Modular degree for the optimal curve
Δ	784 = 24 · 72	Discriminant
Eigenvalues	2- -1 -3 7- -3 -2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2,1]	[a1,a2,a3,a4,a6]
Generators	[0:1:1]	Generators of the group modulo torsion
j	1792	j-invariant
L	1.1255807767677	L(r)(E,1)/r!
Ω	4.3609185288243	Real period
R	0.086035450966579	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	784i1 3136f1 1764j1 4900g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 196a1

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	-3	-	-3	-2	-3	1	3	-6	7	-1	-6	-4	9	3	-9	1	-7	0	1	-13	-12	-15	10

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Quadratic twists for elliptic curve 196a1

-4	8	-3	5	-7	-11	13	17	-19	-23
784i1	3136f1	1764j1	4900g1	196b1	23716h1	33124m1	56644g1	70756f1	103684g1

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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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