Cremona's table of elliptic curves

4515 = 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 43-	Signs for the Atkin-Lehner involutions
Class	4515g	Isogeny class
Conductor	4515	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	8736525 = 33 · 52 · 7 · 432	Discriminant
Eigenvalues	1 3- 5+ 7-  0  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1004,-12319]	[a1,a2,a3,a4,a6]
j	111764245610809/8736525	j-invariant
L	2.5447272952642	L(r)(E,1)/r!
Ω	0.84824243175473	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	72240be2 13545o2 22575b2 31605m2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4515g2

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	0	-2	2	2	0	4	-6	-2	-	12	0	4	-4	4	6	-14	16	16	2	8

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Quadratic twists for elliptic curve 4515g2

-4	-3	5	-7
72240be2	13545o2	22575b2	31605m2

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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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