Atkin-Lehner |
2+ 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024b |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1208464711344 = -1 · 24 · 310 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2633,-10580] |
[a1,a2,a3,a4,a6] |
j |
94757435392/56746089 |
j-invariant |
L |
2.0154325371178 |
L(r)(E,1)/r! |
Ω |
0.50385811078487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90024q1 |
Quadratic twists by: -11 |