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	954f	Isogeny class
Conductor	954	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-309096 = -1 · 23 · 36 · 53	Discriminant
Eigenvalues	2+ 3- -3  2  3 -4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,9,-27]	[a1,a2,a3,a4,a6]
Generators	[3:3:1]	Generators of the group modulo torsion
j	103823/424	j-invariant
L	1.6924692457099	L(r)(E,1)/r!
Ω	1.5511785481318	Real period
R	0.54554301558264	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	7632q1 30528m1 106a1 23850ch1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 954f1

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
+	-	-3	2	3	-4	-3	-4	9	-6	5	-10	-6	-1	0	-	-15	-10	-4	-12	8	11	6	-9	-13

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Quadratic twists for elliptic curve 954f1

-4	8	-3	5	-7	-11	53
7632q1	30528m1	106a1	23850ch1	46746t1	115434bt1	50562bd1

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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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