Atkin-Lehner |
2+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710i |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11741184 |
Modular degree for the optimal curve |
Δ |
-1.8298502439878E+22 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -2 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103049613,-402701870712] |
[a1,a2,a3,a4,a6] |
j |
-25072791410715995199889/3791014403072000 |
j-invariant |
L |
0.2843053244579 |
L(r)(E,1)/r! |
Ω |
0.023692125729078 |
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: 13 |