Cremona's table of elliptic curves

35868 = 2² · 3 · 7² · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 61+	Signs for the Atkin-Lehner involutions
Class	35868b	Isogeny class
Conductor	35868	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	34885365599976192 = 28 · 36 · 77 · 613	Discriminant
Eigenvalues	2- 3+  0 7-  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-415223468,3256787394120]	[a1,a2,a3,a4,a6]
Generators	[885835595800938424434:784633141052006631:75293648627917096]	Generators of the group modulo torsion
j	262870094943539630818000/1158284043	j-invariant
L	4.8656794277591	L(r)(E,1)/r!
Ω	0.17595277329313	Real period
R	27.65332615504	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	107604j4 5124c4	Quadratic twists by: -3 -7

Hecke Eigenvalues for elliptic curve 35868b4

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	-2	6	4	0	0	4	-10	0	-4	12	0	-6	+	-4	12	-14	-16	12	6	10

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Quadratic twists for elliptic curve 35868b4

-3	-7
107604j4	5124c4

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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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