Cremona's table of elliptic curves

3465 = 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	3465a	Isogeny class
Conductor	3465	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-51975 = -1 · 33 · 52 · 7 · 11	Discriminant
Eigenvalues	1 3+ 5+ 7+ 11+  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,0,11]	[a1,a2,a3,a4,a6]
Generators	[2:3:1]	Generators of the group modulo torsion
j	-27/1925	j-invariant
L	3.9039276904629	L(r)(E,1)/r!
Ω	2.8330478031838	Real period
R	1.3779956999228	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	55440cb1 3465c1 17325c1 24255s1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3465a1

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

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Quadratic twists for elliptic curve 3465a1

-4	-3	5	-7	-11
55440cb1	3465c1	17325c1	24255s1	38115d1

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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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