Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cw |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
2853545423872 = 210 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11- 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35493,2584309] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-484:1] |
Generators of the group modulo torsion |
j |
22528000/13 |
j-invariant |
L |
2.1314629286564 |
L(r)(E,1)/r! |
Ω |
0.79524391975943 |
Real period |
R |
0.44671051754196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999957069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672f1 25168bf1 100672dv1 |
Quadratic twists by: -4 8 -11 |