Cremona's table of elliptic curves

Curve 13416a3

13416 = 23 · 3 · 13 · 43



Data for elliptic curve 13416a3

Field Data Notes
Atkin-Lehner 2+ 3+ 13- 43- Signs for the Atkin-Lehner involutions
Class 13416a Isogeny class
Conductor 13416 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 602754048 = 210 · 34 · 132 · 43 Discriminant
Eigenvalues 2+ 3+  2  0  0 13- -6  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-155032,-23443652] [a1,a2,a3,a4,a6]
Generators [139071:9949940:27] Generators of the group modulo torsion
j 402430238405870692/588627 j-invariant
L 4.5736824822898 L(r)(E,1)/r!
Ω 0.24059909190447 Real period
R 9.5047791870006 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 26832j4 107328q4 40248u4 Quadratic twists by: -4 8 -3


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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