Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275i |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
23250613408203125 = 510 · 79 · 59 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- 6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-71458,462494] |
[a1,a2,a3,a4,a6] |
j |
102400/59 |
j-invariant |
L |
0.64728971070957 |
L(r)(E,1)/r! |
Ω |
0.32364486278544 |
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 |
72275q1 72275l1 |
Quadratic twists by: 5 -7 |