Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cp |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
23841664616323125 = 34 · 54 · 118 · 133 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27307683,-54934776781] |
[a1,a2,a3,a4,a6] |
Generators |
[109722:11732129:8] |
Generators of the group modulo torsion |
j |
16809577104179200/177957 |
j-invariant |
L |
8.1529985876751 |
L(r)(E,1)/r! |
Ω |
0.066043235344034 |
Real period |
R |
10.28745103468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975g2 117975cl2 |
Quadratic twists by: 5 -11 |