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	3465d	Isogeny class
Conductor	3465	Conductor
∏ cp	200	Product of Tamagawa factors cp
Δ	2102359998294084375 = 39 · 55 · 710 · 112	Discriminant
Eigenvalues	-1 3+ 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-346007,35728264]	[a1,a2,a3,a4,a6]
Generators	[-28:6751:1]	Generators of the group modulo torsion
j	232747967939865867/106810953528125	j-invariant
L	2.4285798916129	L(r)(E,1)/r!
Ω	0.23379001796021	Real period
R	0.20775736387737	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	55440cj2 3465b2 17325a2 24255g2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3465d2

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

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Quadratic twists for elliptic curve 3465d2

-4	-3	5	-7	-11
55440cj2	3465b2	17325a2	24255g2	38115f2

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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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