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	954j	Isogeny class
Conductor	954	Conductor
∏ cp	68	Product of Tamagawa factors cp
deg	1632	Modular degree for the optimal curve
Δ	-136734179328 = -1 · 217 · 39 · 53	Discriminant
Eigenvalues	2- 3- -4  1  1 -4 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1273,-3585]	[a1,a2,a3,a4,a6]
Generators	[11:102:1]	Generators of the group modulo torsion
j	313185171671/187564032	j-invariant
L	2.9240611399493	L(r)(E,1)/r!
Ω	0.6041744008337	Real period
R	0.0711729908741	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	7632j1 30528y1 318e1 23850v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 954j1

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
-	-	-4	1	1	-4	-6	-1	-9	3	-8	12	-5	-8	2	+	-4	-7	1	3	6	-4	8	4	-3

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Quadratic twists for elliptic curve 954j1

-4	8	-3	5	-7	-11	53
7632j1	30528y1	318e1	23850v1	46746bi1	115434r1	50562k1

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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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