Cremona's table of elliptic curves

93600 = 2⁵ · 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	93600di	Isogeny class
Conductor	93600	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	35978634432000000 = 212 · 39 · 56 · 134	Discriminant
Eigenvalues	2- 3- 5+  0 -4 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-83100,-1316000]	[a1,a2,a3,a4,a6]
Generators	[-130:2700:1]	Generators of the group modulo torsion
j	1360251712/771147	j-invariant
L	5.1678986106414	L(r)(E,1)/r!
Ω	0.30345107486857	Real period
R	1.0644011160477	Regulator
r	1	Rank of the group of rational points
S	1.0000000012667	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	93600u3 31200n3 3744h2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 93600di3

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	-4	+	-6	-8	8	-2	8	10	-6	4	0	-14	12	-10	8	0	14	-4	4	10	-10

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Quadratic twists for elliptic curve 93600di3

-4	-3	5
93600u3	31200n3	3744h2

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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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