Atkin-Lehner |
3- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
86025l |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-2322675 = -1 · 34 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 6 7 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9,73] |
[a1,a2,a3,a4,a6] |
j |
3767855/92907 |
j-invariant |
L |
7.7689742929289 |
L(r)(E,1)/r! |
Ω |
1.9422435725774 |
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 |
86025e1 |
Quadratic twists by: 5 |