Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cc |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-70460026617991296 = -1 · 27 · 3 · 113 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 11+ 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,85088,-8440255] |
[a1,a2,a3,a4,a6] |
j |
371293/384 |
j-invariant |
L |
2.6311703502141 |
L(r)(E,1)/r! |
Ω |
0.18794070085326 |
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 |
122694m1 122694j1 |
Quadratic twists by: -11 13 |