Cremona's table of elliptic curves

35490 = 2 · 3 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	35490dr	Isogeny class
Conductor	35490	Conductor
∏ cp	1680	Product of Tamagawa factors cp
deg	241920	Modular degree for the optimal curve
Δ	-3766993776000000 = -1 · 210 · 37 · 56 · 72 · 133	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 13-  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,11690,2913572]	[a1,a2,a3,a4,a6]
Generators	[1184:-41542:1]	Generators of the group modulo torsion
j	80414592731747/1714608000000	j-invariant
L	10.609528192576	L(r)(E,1)/r!
Ω	0.33077779462668	Real period
R	0.076367827046567	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	106470bo1 35490bj1	Quadratic twists by: -3 13

Hecke Eigenvalues for elliptic curve 35490dr1

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
-	-	-	+	-4	-	0	-4	-2	8	6	-8	6	4	-8	2	4	-6	-10	-16	-2	0	12	-14	-2

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Quadratic twists for elliptic curve 35490dr1

-3	13
106470bo1	35490bj1

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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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