Cremona's table of elliptic curves

15330 = 2 · 3 · 5 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 73-	Signs for the Atkin-Lehner involutions
Class	15330bc	Isogeny class
Conductor	15330	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	-1158948000 = -1 · 25 · 34 · 53 · 72 · 73	Discriminant
Eigenvalues	2- 3- 5- 7+ -6 -2  3  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,85,1617]	[a1,a2,a3,a4,a6]
Generators	[34:-227:1]	Generators of the group modulo torsion
j	67867385039/1158948000	j-invariant
L	8.6784351191558	L(r)(E,1)/r!
Ω	1.1484971346739	Real period
R	0.062969502035514	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	122640by1 45990q1 76650f1 107310cg1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330bc1

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
-	-	-	+	-6	-2	3	1	5	-5	-7	1	3	-7	10	-6	-8	-12	2	-6	-	0	-4	-17	6

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Quadratic twists for elliptic curve 15330bc1

-4	-3	5	-7
122640by1	45990q1	76650f1	107310cg1

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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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