Cremona's table of elliptic curves

35520 = 2⁶ · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 37+	Signs for the Atkin-Lehner involutions
Class	35520j	Isogeny class
Conductor	35520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-9211876147200 = -1 · 216 · 3 · 52 · 374	Discriminant
Eigenvalues	2+ 3+ 5-  0 -4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4575,82977]	[a1,a2,a3,a4,a6]
Generators	[-1:280:1] [19:420:1]	Generators of the group modulo torsion
j	161555647964/140562075	j-invariant
L	7.6873623921328	L(r)(E,1)/r!
Ω	0.47452064794082	Real period
R	8.1001347628313	Regulator
r	2	Rank of the group of rational points
S	0.99999999999993	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35520ct3 4440h4 106560bb3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 35520j3

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

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Quadratic twists for elliptic curve 35520j3

-4	8	-3
35520ct3	4440h4	106560bb3

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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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