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	88935ci	Isogeny class
Conductor	88935	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	1.7377541599889E+20	Discriminant
Eigenvalues	-1 3- 5- 7- 11- -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1473480,267623775]	[a1,a2,a3,a4,a6]
Generators	[-570:154635:8]	Generators of the group modulo torsion
j	1697509118089/833765625	j-invariant
L	5.6772058887372	L(r)(E,1)/r!
Ω	0.16041575130931	Real period
R	2.9492146909269	Regulator
r	1	Rank of the group of rational points
S	1.0000000006565	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12705b2 8085u2	Quadratic twists by: -7 -11

Hecke Eigenvalues for elliptic curve 88935ci2

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

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Quadratic twists for elliptic curve 88935ci2

-7	-11
12705b2	8085u2

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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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