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	18	Product of Tamagawa factors cp
deg	28800	Modular degree for the optimal curve
Δ	85617945 = 33 · 5 · 73 · 432	Discriminant
Eigenvalues	1 3- 5- 7-  0  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1783708,916775861]	[a1,a2,a3,a4,a6]
j	627616918987717566874681/85617945	j-invariant
L	3.4179098895807	L(r)(E,1)/r!
Ω	0.75953553101793	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	72240by1 13545g1 22575c1 31605b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4515h1

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 4515h1

-4	-3	5	-7
72240by1	13545g1	22575c1	31605b1

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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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