Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405y |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
87910274025 = 36 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9270,-340929] |
[a1,a2,a3,a4,a6] |
j |
1027243729/1025 |
j-invariant |
L |
0.97315818052714 |
L(r)(E,1)/r! |
Ω |
0.48657909049242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10045j1 1845f1 |
Quadratic twists by: -3 -7 |