Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125628b |
Isogeny class |
Conductor |
125628 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-65487866352 = -1 · 24 · 3 · 196 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 1 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-842,15777] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1083:1] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
8.2235313185576 |
L(r)(E,1)/r! |
Ω |
1.003919986089 |
Real period |
R |
1.3652368523732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999993616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
348b1 |
Quadratic twists by: -19 |