Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850eb |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
1645378707456000000 = 219 · 38 · 56 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ -1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-569480,-153324853] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:3673:1] |
Generators of the group modulo torsion |
j |
1793126264853169/144450256896 |
j-invariant |
L |
12.637799623487 |
L(r)(E,1)/r! |
Ω |
0.17468081905251 |
Real period |
R |
1.9038934910518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950bj1 4554i1 |
Quadratic twists by: -3 5 |