Cremona's table of elliptic curves

7446 = 2 · 3 · 17 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 17- 73-	Signs for the Atkin-Lehner involutions
Class	7446i	Isogeny class
Conductor	7446	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	-55330504822495008 = -1 · 25 · 36 · 174 · 734	Discriminant
Eigenvalues	2- 3- -2  0 -4  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,92331,3394305]	[a1,a2,a3,a4,a6]
Generators	[-18:1323:1]	Generators of the group modulo torsion
j	87049450888239181103/55330504822495008	j-invariant
L	6.4407508115479	L(r)(E,1)/r!
Ω	0.21985039396282	Real period
R	0.24413385148922	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	59568x3 22338c3 126582z3	Quadratic twists by: -4 -3 17

Hecke Eigenvalues for elliptic curve 7446i4

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	0	-4	2	-	-4	4	6	0	-6	-6	-4	-12	2	4	-6	4	-12	-	4	12	10	10

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Quadratic twists for elliptic curve 7446i4

-4	-3	17
59568x3	22338c3	126582z3

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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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