Cremona's table of elliptic curves

88200 = 2³ · 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	88200ie	Isogeny class
Conductor	88200	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	604800	Modular degree for the optimal curve
Δ	-68612896800000000 = -1 · 211 · 36 · 58 · 76	Discriminant
Eigenvalues	2- 3- 5- 7- -1 -4  5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,55125,-11576250]	[a1,a2,a3,a4,a6]
Generators	[54291529586:4794461501606:6967871]	Generators of the group modulo torsion
j	270	j-invariant
L	6.1889302477422	L(r)(E,1)/r!
Ω	0.17645322720874	Real period
R	17.537027646484	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9800v1 88200ce1 1800u1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 88200ie1

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
-	-	-	-	-1	-4	5	-1	2	8	-10	-6	-3	4	4	-6	8	-10	-1	12	-3	6	-13	-9	14

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Quadratic twists for elliptic curve 88200ie1

-3	5	-7
9800v1	88200ce1	1800u1

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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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