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	7581c	Isogeny class
Conductor	7581	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	60480	Modular degree for the optimal curve
Δ	47435091573513 = 3 · 72 · 199	Discriminant
Eigenvalues	1 3+  4 7+ -2 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-155598,-23686665]	[a1,a2,a3,a4,a6]
j	8855610342769/1008273	j-invariant
L	1.9230525084419	L(r)(E,1)/r!
Ω	0.24038156355523	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121296dl1 22743o1 53067s1 399c1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 7581c1

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	+	4	+	-2	-4	0	-	-6	-10	0	-6	10	8	12	6	12	-2	2	12	-6	-2	0	2	12

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Quadratic twists for elliptic curve 7581c1

-4	-3	-7	-19
121296dl1	22743o1	53067s1	399c1

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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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