Atkin-Lehner |
5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555b |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3010176 |
Modular degree for the optimal curve |
Δ |
-5.4470259572369E+20 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ -3 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1961189,-377986059] |
[a1,a2,a3,a4,a6] |
Generators |
[68262329387661:47700490936729832:139798359] |
Generators of the group modulo torsion |
j |
6051294838784/3951171875 |
j-invariant |
L |
4.5364095402213 |
L(r)(E,1)/r! |
Ω |
0.093777183427738 |
Real period |
R |
24.187170985557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100555m1 |
Quadratic twists by: 13 |