Cremona's table of elliptic curves

954 = 2 · 3² · 53

Field	Data	Notes
Atkin-Lehner	2+ 3+ 53+	Signs for the Atkin-Lehner involutions
Class	954a	Isogeny class
Conductor	954	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	-133529472 = -1 · 27 · 39 · 53	Discriminant
Eigenvalues	2+ 3+  2 -3 -1 -2  2 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-96,-640]	[a1,a2,a3,a4,a6]
Generators	[13:7:1]	Generators of the group modulo torsion
j	-5000211/6784	j-invariant
L	1.906783915839	L(r)(E,1)/r!
Ω	0.72598926146575	Real period
R	1.3132314877422	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	7632c1 30528c1 954h1 23850by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 954a1

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	-3	-1	-2	2	-7	-5	5	-10	-2	-1	8	12	+	-12	-5	-5	-9	4	10	0	-16	-7

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Quadratic twists for elliptic curve 954a1

-4	8	-3	5	-7	-11	53
7632c1	30528c1	954h1	23850by1	46746b1	115434be1	50562w1

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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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