Atkin-Lehner |
5- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45425g |
Isogeny class |
Conductor |
45425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
3548828125 = 59 · 23 · 79 |
Discriminant |
Eigenvalues |
2 -1 5- 4 0 -4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-458,-2307] |
[a1,a2,a3,a4,a6] |
j |
5451776/1817 |
j-invariant |
L |
2.1189258391026 |
L(r)(E,1)/r! |
Ω |
1.0594629196027 |
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 |
45425f1 |
Quadratic twists by: 5 |