Atkin-Lehner |
2+ 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688d |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-119908936448 = -1 · 28 · 75 · 29 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 0 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2009,-39133] |
[a1,a2,a3,a4,a6] |
j |
-3504610143232/468394283 |
j-invariant |
L |
0.70780874199168 |
L(r)(E,1)/r! |
Ω |
0.35390439050689 |
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 |
50344d1 |
Quadratic twists by: -4 |