Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650cc |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
2168279280000000000 = 213 · 313 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-436055,-85121553] |
[a1,a2,a3,a4,a6] |
j |
1288009359025/304570368 |
j-invariant |
L |
4.9131320520475 |
L(r)(E,1)/r! |
Ω |
0.18896661738644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200fy1 2550c1 7650bd1 |
Quadratic twists by: -4 -3 5 |