Cremona's table of elliptic curves

87360 = 2⁶ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	87360gf	Isogeny class
Conductor	87360	Conductor
∏ cp	1008	Product of Tamagawa factors cp
Δ	-1.2717363755148E+20	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 13-  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-713161,589778135]	[a1,a2,a3,a4,a6]
Generators	[-478:28665:1]	Generators of the group modulo torsion
j	-9793256488426131904/31048251355341675	j-invariant
L	8.0809959489605	L(r)(E,1)/r!
Ω	0.16285815813522	Real period
R	0.19690413180824	Regulator
r	1	Rank of the group of rational points
S	1.0000000001997	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	87360ed2 43680bm1	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 87360gf2

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
-	-	+	-	0	-	0	0	2	-10	4	-6	6	0	6	-2	-14	-2	-12	-4	10	4	6	-6	6

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Quadratic twists for elliptic curve 87360gf2

-4	8
87360ed2	43680bm1

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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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