Atkin-Lehner |
5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72275r |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
12648125 = 54 · 73 · 59 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58,-31] |
[a1,a2,a3,a4,a6] |
j |
102400/59 |
j-invariant |
L |
3.7630899230809 |
L(r)(E,1)/r! |
Ω |
1.8815449406039 |
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 |
72275l1 72275q1 |
Quadratic twists by: 5 -7 |