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	3465l	Isogeny class
Conductor	3465	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	10379818647146025 = 314 · 52 · 72 · 116	Discriminant
Eigenvalues	-1 3- 5+ 7- 11-  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-323663,-70623394]	[a1,a2,a3,a4,a6]
j	5143681768032498601/14238434358225	j-invariant
L	1.2011573526898	L(r)(E,1)/r!
Ω	0.20019289211496	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	55440db2 1155l2 17325r2 24255bx2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3465l2

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	-2	4	4	2	4	-2	-6	4	-8	2	8	10	-8	0	-14	-16	4	6	18

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Quadratic twists for elliptic curve 3465l2

-4	-3	5	-7	-11
55440db2	1155l2	17325r2	24255bx2	38115l2

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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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