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	3465n	Isogeny class
Conductor	3465	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	384398503335 = 37 · 5 · 74 · 114	Discriminant
Eigenvalues	-1 3- 5- 7+ 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1832,-4084]	[a1,a2,a3,a4,a6]
Generators	[-11:126:1]	Generators of the group modulo torsion
j	932288503609/527295615	j-invariant
L	2.2584784703966	L(r)(E,1)/r!
Ω	0.78683313939667	Real period
R	1.4351698964589	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	55440et3 1155h4 17325w3 24255be3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3465n3

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

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Quadratic twists for elliptic curve 3465n3

-4	-3	5	-7	-11
55440et3	1155h4	17325w3	24255be3	38115bc3

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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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