Atkin-Lehner |
3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745g |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-8508890524921875 = -1 · 35 · 57 · 117 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 11- -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,45214,-2465233] |
[a1,a2,a3,a4,a6] |
j |
5770012921856/4803046875 |
j-invariant |
L |
0.45691788849641 |
L(r)(E,1)/r! |
Ω |
0.22845894432974 |
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 |
125235ca1 3795a1 |
Quadratic twists by: -3 -11 |