Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360g |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-1.5527994994983E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -2 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9756176,11733962176] |
[a1,a2,a3,a4,a6] |
j |
-25072791410715995199889/3791014403072000 |
j-invariant |
L |
0.85405823140712 |
L(r)(E,1)/r! |
Ω |
0.21351455730901 |
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 |
7670e1 |
Quadratic twists by: -4 |