Cremona's table of elliptic curves

1476 = 2² · 3² · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 41-	Signs for the Atkin-Lehner involutions
Class	1476b	Isogeny class
Conductor	1476	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	-150606127872 = -1 · 28 · 315 · 41	Discriminant
Eigenvalues	2- 3-  2 -4  5  4  5 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,96,-18668]	[a1,a2,a3,a4,a6]
j	524288/807003	j-invariant
L	1.9124664843046	L(r)(E,1)/r!
Ω	0.47811662107614	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	5904u1 23616w1 492b1 36900j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1476b1

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	-4	5	4	5	-6	-4	3	1	5	-	9	11	-2	4	1	-14	1	13	10	6	14	-6

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Quadratic twists for elliptic curve 1476b1

-4	8	-3	5	-7	41
5904u1	23616w1	492b1	36900j1	72324k1	60516l1

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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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