Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024y |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-229716772223026176 = -1 · 210 · 32 · 1110 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11- -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,-23061744] |
[a1,a2,a3,a4,a6] |
j |
-484/8649 |
j-invariant |
L |
1.1445175632409 |
L(r)(E,1)/r! |
Ω |
0.14306471542451 |
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 |
90024j1 |
Quadratic twists by: -11 |