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	35520bb	Isogeny class
Conductor	35520	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	145920	Modular degree for the optimal curve
Δ	-490046914068480 = -1 · 215 · 310 · 5 · 373	Discriminant
Eigenvalues	2+ 3- 5+  3  3 -2  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16801,1349759]	[a1,a2,a3,a4,a6]
Generators	[107:888:1]	Generators of the group modulo torsion
j	-16006818542408/14955044985	j-invariant
L	7.8603960686205	L(r)(E,1)/r!
Ω	0.47830693850124	Real period
R	0.13694825497845	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35520i1 17760g1 106560dh1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 35520bb1

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
+	-	+	3	3	-2	3	-2	8	-7	-5	-	-7	-5	8	-13	10	-13	-12	-4	4	-12	-2	-2	-13

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Quadratic twists for elliptic curve 35520bb1

-4	8	-3
35520i1	17760g1	106560dh1

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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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