Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656z |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
712035467687232 = 26 · 318 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44850,-3438036] |
[a1,a2,a3,a4,a6] |
Generators |
[825:-22842:1] |
Generators of the group modulo torsion |
j |
155898078904713664/11125554182613 |
j-invariant |
L |
5.6949683774565 |
L(r)(E,1)/r! |
Ω |
0.32953984694784 |
Real period |
R |
0.96008763434723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58656q1 117312bz2 |
Quadratic twists by: -4 8 |