Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bb |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-5326477947857672892 = -1 · 22 · 32 · 119 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,398329,-54433546] |
[a1,a2,a3,a4,a6] |
j |
614125/468 |
j-invariant |
L |
1.0790032248968 |
L(r)(E,1)/r! |
Ω |
0.1348753601479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694cv1 9438x1 |
Quadratic twists by: -11 13 |