Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024m |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-2696712671664 = -1 · 24 · 32 · 117 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3307,106610] |
[a1,a2,a3,a4,a6] |
j |
-141150208/95139 |
j-invariant |
L |
5.967662870144 |
L(r)(E,1)/r! |
Ω |
0.74595786756084 |
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 |
8184l1 |
Quadratic twists by: -11 |