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	3465r	Isogeny class
Conductor	3465	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3200	Modular degree for the optimal curve
Δ	-998539552395 = -1 · 311 · 5 · 7 · 115	Discriminant
Eigenvalues	0 3- 5- 7- 11+  0 -3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-1182,-50558]	[a1,a2,a3,a4,a6]
j	-250523582464/1369738755	j-invariant
L	1.4636300102719	L(r)(E,1)/r!
Ω	0.36590750256798	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55440eg1 1155d1 17325i1 24255bc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3465r1

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	-	-	-	+	0	-3	-3	1	7	6	-8	2	-5	6	3	5	-7	6	10	12	-16	3	-3	-1

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Quadratic twists for elliptic curve 3465r1

-4	-3	5	-7	-11
55440eg1	1155d1	17325i1	24255bc1	38115w1

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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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