Atkin-Lehner |
2- 11- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264o |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
4692800 |
Modular degree for the optimal curve |
Δ |
-1.1823211193146E+21 |
Discriminant |
Eigenvalues |
2- 2 -2 1 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2503909,2250844749] |
[a1,a2,a3,a4,a6] |
j |
-423857196397779300352/288652617020172691 |
j-invariant |
L |
0.99427103688264 |
L(r)(E,1)/r! |
Ω |
0.14203876080353 |
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 |
7579a1 |
Quadratic twists by: -4 |