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	15330g	Isogeny class
Conductor	15330	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-414124194494510640 = -1 · 24 · 312 · 5 · 73 · 734	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,65413,-30257331]	[a1,a2,a3,a4,a6]
j	30953199041769299399/414124194494510640	j-invariant
L	1.7578916080448	L(r)(E,1)/r!
Ω	0.14649096733707	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	122640ct3 45990cc3 76650cq3 107310bh3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330g4

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	0	0	-2	8	6	6	12	8	6	-8	-10	-8	-8	-	-8	-4	14	18

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Quadratic twists for elliptic curve 15330g4

-4	-3	5	-7
122640ct3	45990cc3	76650cq3	107310bh3

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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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