Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024c |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-591578103938629104 = -1 · 24 · 36 · 116 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 11- 2 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,113216,33938797] |
[a1,a2,a3,a4,a6] |
j |
5661965297408/20870651079 |
j-invariant |
L |
1.6497934890072 |
L(r)(E,1)/r! |
Ω |
0.20622417315673 |
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 |
744d1 |
Quadratic twists by: -11 |