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	954h	Isogeny class
Conductor	954	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	112	Modular degree for the optimal curve
Δ	-183168 = -1 · 27 · 33 · 53	Discriminant
Eigenvalues	2- 3+ -2 -3  1 -2 -2 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-11,27]	[a1,a2,a3,a4,a6]
Generators	[-1:6:1]	Generators of the group modulo torsion
j	-5000211/6784	j-invariant
L	2.9846183138115	L(r)(E,1)/r!
Ω	2.8839207270915	Real period
R	0.07392263608789	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	7632e1 30528a1 954a1 23850b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 954h1

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 954h1

-4	8	-3	5	-7	-11	53
7632e1	30528a1	954a1	23850b1	46746z1	115434k1	50562a1

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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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