Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330z |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1482624 |
Modular degree for the optimal curve |
Δ |
72359936000000000 = 222 · 59 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- -6 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1775368,-909965493] |
[a1,a2,a3,a4,a6] |
j |
5114501091012446390169/598016000000000 |
j-invariant |
L |
2.8774197116903 |
L(r)(E,1)/r! |
Ω |
0.13079180216073 |
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 |
88330b1 |
Quadratic twists by: -11 |