Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650ce |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-205833243687500000 = -1 · 25 · 59 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2831463,-1834218583] |
[a1,a2,a3,a4,a6] |
j |
-90694355177089/7436000 |
j-invariant |
L |
4.6553751247498 |
L(r)(E,1)/r! |
Ω |
0.058192189657507 |
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 |
15730b1 7150b1 |
Quadratic twists by: 5 -11 |