Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090do |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
4004074725672000 = 26 · 3 · 53 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85180,9064400] |
[a1,a2,a3,a4,a6] |
j |
461710681489/27048000 |
j-invariant |
L |
7.7939181586827 |
L(r)(E,1)/r! |
Ω |
0.43299542914974 |
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 |
4830bb1 |
Quadratic twists by: -23 |