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	3465g	Isogeny class
Conductor	3465	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6272	Modular degree for the optimal curve
Δ	-9590849296875 = -1 · 313 · 57 · 7 · 11	Discriminant
Eigenvalues	0 3- 5+ 7+ 11- -4  5  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,4902,-68922]	[a1,a2,a3,a4,a6]
Generators	[14:49:1]	Generators of the group modulo torsion
j	17869652393984/13156171875	j-invariant
L	2.6158706646572	L(r)(E,1)/r!
Ω	0.40782588596226	Real period
R	3.2070924807593	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55440dn1 1155k1 17325bf1 24255br1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3465g1

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
0	-	+	+	-	-4	5	1	5	-3	-6	-12	2	13	6	-1	11	5	-10	6	-4	-8	-5	-13	-19

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Quadratic twists for elliptic curve 3465g1

-4	-3	5	-7	-11
55440dn1	1155k1	17325bf1	24255br1	38115r1

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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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