Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672dt |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
131753070592 = 212 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 1 -4 2 11- 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12745,-557801] |
[a1,a2,a3,a4,a6] |
j |
3818094016/2197 |
j-invariant |
L |
2.6960499804708 |
L(r)(E,1)/r! |
Ω |
0.44934173165553 |
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 |
100672ec1 50336e1 100672ct1 |
Quadratic twists by: -4 8 -11 |