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	96	Product of Tamagawa factors cp
Δ	272811770731710000 = 24 · 33 · 54 · 712 · 73	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-229467,33941421]	[a1,a2,a3,a4,a6]
j	1336248967913434968121/272811770731710000	j-invariant
L	1.7578916080448	L(r)(E,1)/r!
Ω	0.29298193467414	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	122640ct4 45990cc4 76650cq4 107310bh4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330g3

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 15330g3

-4	-3	5	-7
122640ct4	45990cc4	76650cq4	107310bh4

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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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