Cremona's table of elliptic curves

484 = 2² · 11²

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	484a	Isogeny class
Conductor	484	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-603634608896 = -1 · 28 · 119	Discriminant
Eigenvalues	2-  1 -3 -2 11-  4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9357,347279]	[a1,a2,a3,a4,a6]
Generators	[205:2662:1]	Generators of the group modulo torsion
j	-199794688/1331	j-invariant
L	1.9006792135242	L(r)(E,1)/r!
Ω	0.92083666799361	Real period
R	0.17200654574872	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	1936h2 7744h2 4356h2 12100e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 484a2

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	-2	-	4	-6	-8	-3	0	5	-1	0	10	0	-6	3	4	-1	15	4	-2	-6	-9	-7

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Quadratic twists for elliptic curve 484a2

-4	8	-3	5	-7	-11	13
1936h2	7744h2	4356h2	12100e2	23716g2	44a2	81796f2

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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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