Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694ca |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59609088 |
Modular degree for the optimal curve |
Δ |
-1.2738189451893E+25 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-525171644,4635298389899] |
[a1,a2,a3,a4,a6] |
j |
-1407450852604763/1119214746 |
j-invariant |
L |
4.5116260215802 |
L(r)(E,1)/r! |
Ω |
0.070494182510016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694k1 9438b1 |
Quadratic twists by: -11 13 |