Atkin-Lehner |
2+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128k |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20074496 = 212 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26137,-1617735] |
[a1,a2,a3,a4,a6] |
Generators |
[175339552710678:-3597099503868845:363077482104] |
Generators of the group modulo torsion |
j |
482111614030528/4901 |
j-invariant |
L |
8.5679415984529 |
L(r)(E,1)/r! |
Ω |
0.37547777512616 |
Real period |
R |
22.818771618571 |
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 |
24128l2 12064b1 |
Quadratic twists by: -4 8 |