Cremona's table of elliptic curves

88935 = 3 · 5 · 7² · 11²

Field	Data	Notes
Atkin-Lehner	3+ 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	88935w	Isogeny class
Conductor	88935	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	595584	Modular degree for the optimal curve
Δ	-965016887401875 = -1 · 3 · 54 · 74 · 118	Discriminant
Eigenvalues	2 3+ 5- 7+ 11-  1  6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,21740,836373]	[a1,a2,a3,a4,a6]
Generators	[267024:6508457:4096]	Generators of the group modulo torsion
j	2207744/1875	j-invariant
L	12.398766826773	L(r)(E,1)/r!
Ω	0.32122012851584	Real period
R	9.6497430709816	Regulator
r	1	Rank of the group of rational points
S	0.99999999912495	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	88935bs1 88935x1	Quadratic twists by: -7 -11

Hecke Eigenvalues for elliptic curve 88935w1

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	+	-	+	-	1	6	-7	2	6	-4	-6	0	-1	4	2	6	-1	3	-14	6	-1	-16	-2	-11

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Quadratic twists for elliptic curve 88935w1

-7	-11
88935bs1	88935x1

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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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