Atkin-Lehner |
2- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72688f |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
595460096 = 217 · 7 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 0 3 7- 11- 1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251,-982] |
[a1,a2,a3,a4,a6] |
j |
426957777/145376 |
j-invariant |
L |
2.4651353246491 |
L(r)(E,1)/r! |
Ω |
1.232567677727 |
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 |
9086d1 |
Quadratic twists by: -4 |