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	954l	Isogeny class
Conductor	954	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-56332746 = -1 · 2 · 312 · 53	Discriminant
Eigenvalues	2- 3-  1  0  1 -2  7  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,58,303]	[a1,a2,a3,a4,a6]
j	30080231/77274	j-invariant
L	2.7770360851492	L(r)(E,1)/r!
Ω	1.3885180425746	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7632o1 30528i1 318c1 23850m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 954l1

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	0	1	-2	7	2	5	4	-1	-2	4	-1	-6	-	-9	10	-2	0	10	1	-6	1	-13

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Quadratic twists for elliptic curve 954l1

-4	8	-3	5	-7	-11	53
7632o1	30528i1	318c1	23850m1	46746bq1	115434v1	50562h1

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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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