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	4515h	Isogeny class
Conductor	4515	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	7330432506023025 = 36 · 52 · 76 · 434	Discriminant
Eigenvalues	1 3- 5- 7-  0  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1783713,916770463]	[a1,a2,a3,a4,a6]
j	627622196915889338574601/7330432506023025	j-invariant
L	3.4179098895807	L(r)(E,1)/r!
Ω	0.37976776550896	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	72240by2 13545g2 22575c2 31605b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4515h2

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	2	2	0	0	6	4	-2	-6	+	-8	2	4	6	-12	12	14	-8	12	10	6

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Quadratic twists for elliptic curve 4515h2

-4	-3	5	-7
72240by2	13545g2	22575c2	31605b2

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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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