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	4	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-4988715776 = -1 · 28 · 117	Discriminant
Eigenvalues	2-  1 -3 -2 11-  4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,323,2671]	[a1,a2,a3,a4,a6]
Generators	[18:121:1]	Generators of the group modulo torsion
j	8192/11	j-invariant
L	1.9006792135242	L(r)(E,1)/r!
Ω	0.92083666799361	Real period
R	0.51601963724617	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	1936h1 7744h1 4356h1 12100e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 484a1

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 484a1

-4	8	-3	5	-7	-11	13
1936h1	7744h1	4356h1	12100e1	23716g1	44a1	81796f1

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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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