Cremona's table of elliptic curves

7581 = 3 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	7581b	Isogeny class
Conductor	7581	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	186725101689 = 34 · 72 · 196	Discriminant
Eigenvalues	1 3+ -2 7+  4  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1451,3960]	[a1,a2,a3,a4,a6]
j	7189057/3969	j-invariant
L	0.87682224594065	L(r)(E,1)/r!
Ω	0.87682224594065	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	121296dk2 22743n2 53067q2 21a1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 7581b2

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	+	-2	+	4	2	-6	-	0	2	0	-6	-2	-4	0	-6	-12	-2	-4	0	-6	16	-12	14	-18

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Quadratic twists for elliptic curve 7581b2

-4	-3	-7	-19
121296dk2	22743n2	53067q2	21a1

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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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