Cremona's table of elliptic curves

15288 = 2³ · 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	15288v	Isogeny class
Conductor	15288	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-10322451729408 = -1 · 210 · 3 · 76 · 134	Discriminant
Eigenvalues	2- 3+ -2 7-  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,376,154428]	[a1,a2,a3,a4,a6]
Generators	[-2:392:1]	Generators of the group modulo torsion
j	48668/85683	j-invariant
L	3.3054201965184	L(r)(E,1)/r!
Ω	0.56653052051473	Real period
R	1.4586240620873	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30576w3 122304ed3 45864k3 312c4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15288v4

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

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Quadratic twists for elliptic curve 15288v4

-4	8	-3	-7
30576w3	122304ed3	45864k3	312c4

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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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