Atkin-Lehner |
2- 3- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050cb |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
8087040 |
Modular degree for the optimal curve |
Δ |
-4.22339732568E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3871862,-1084678108] |
[a1,a2,a3,a4,a6] |
Generators |
[356:18230:1] |
Generators of the group modulo torsion |
j |
657329724305981975/432475886149632 |
j-invariant |
L |
12.944470501209 |
L(r)(E,1)/r! |
Ω |
0.07895479446657 |
Real period |
R |
0.52547394666112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050q1 |
Quadratic twists by: 5 |