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	15330h	Isogeny class
Conductor	15330	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2947951641600 = 210 · 32 · 52 · 74 · 732	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4344,-73274]	[a1,a2,a3,a4,a6]
Generators	[-52:138:1]	Generators of the group modulo torsion
j	9062529616434169/2947951641600	j-invariant
L	3.4530427121602	L(r)(E,1)/r!
Ω	0.60331278991094	Real period
R	2.8617350484729	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	122640bg2 45990cg2 76650by2 107310z2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330h2

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
+	-	+	+	-4	-2	2	-4	0	2	-4	10	2	-4	0	10	4	14	4	16	-	-8	-8	2	10

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Quadratic twists for elliptic curve 15330h2

-4	-3	5	-7
122640bg2	45990cg2	76650by2	107310z2

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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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