Cremona's table of elliptic curves

13464 = 2³ · 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 17-	Signs for the Atkin-Lehner involutions
Class	13464n	Isogeny class
Conductor	13464	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	117760	Modular degree for the optimal curve
Δ	92974283626752 = 28 · 33 · 115 · 174	Discriminant
Eigenvalues	2- 3+ -4 -2 11- -6 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-162207,25140770]	[a1,a2,a3,a4,a6]
Generators	[-143213:-1536942:343] [-37:5576:1]	Generators of the group modulo torsion
j	68285541719739888/13451140571	j-invariant
L	5.2703202909884	L(r)(E,1)/r!
Ω	0.58459441971106	Real period
R	0.22538362124608	Regulator
r	2	Rank of the group of rational points
S	0.99999999999985	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26928c1 107712h1 13464a1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 13464n1

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
-	+	-4	-2	-	-6	-	2	-8	2	-4	-6	-2	-10	0	-12	8	10	-16	-12	-6	-10	4	-8	-14

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Quadratic twists for elliptic curve 13464n1

-4	8	-3
26928c1	107712h1	13464a1

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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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