Cremona's table of elliptic curves

35301 = 3 · 7 · 41²

Field	Data	Notes
Atkin-Lehner	3- 7+ 41+	Signs for the Atkin-Lehner involutions
Class	35301h	Isogeny class
Conductor	35301	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	281875845513200421 = 3 · 7 · 4110	Discriminant
Eigenvalues	-1 3-  2 7+  0 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-247142,39776895]	[a1,a2,a3,a4,a6]
j	351447414193/59340981	j-invariant
L	2.6508526733224	L(r)(E,1)/r!
Ω	0.29453918592635	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	105903d3 861a4	Quadratic twists by: -3 41

Hecke Eigenvalues for elliptic curve 35301h3

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

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Quadratic twists for elliptic curve 35301h3

-3	41
105903d3	861a4

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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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