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	15330x	Isogeny class
Conductor	15330	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	84672	Modular degree for the optimal curve
Δ	1279200444480 = 26 · 37 · 5 · 73 · 732	Discriminant
Eigenvalues	2- 3+ 5- 7- -6  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-77945,-8408185]	[a1,a2,a3,a4,a6]
j	52370756156362628881/1279200444480	j-invariant
L	2.5715537498292	L(r)(E,1)/r!
Ω	0.28572819442547	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	122640cs1 45990s1 76650bf1 107310db1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330x1

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

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Quadratic twists for elliptic curve 15330x1

-4	-3	5	-7
122640cs1	45990s1	76650bf1	107310db1

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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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