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	15330bd	Isogeny class
Conductor	15330	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	239063415527343750 = 2 · 3 · 516 · 72 · 732	Discriminant
Eigenvalues	2- 3- 5- 7- -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8364010,-9311101378]	[a1,a2,a3,a4,a6]
j	64709395912988172313460641/239063415527343750	j-invariant
L	5.6816697798826	L(r)(E,1)/r!
Ω	0.088776090310665	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	122640bk6 45990v6 76650d6 107310ce6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330bd5

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

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Quadratic twists for elliptic curve 15330bd5

-4	-3	5	-7
122640bk6	45990v6	76650d6	107310ce6

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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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