Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cw |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
223462800 = 24 · 35 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-968,11253] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-33:1] |
Generators of the group modulo torsion |
j |
251037364480/558657 |
j-invariant |
L |
8.5085853624666 |
L(r)(E,1)/r! |
Ω |
1.7728811512139 |
Real period |
R |
0.23996490932887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400y1 |
Quadratic twists by: 5 |