Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432o |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-484946451350064 = -1 · 24 · 316 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12774,1196395] |
[a1,a2,a3,a4,a6] |
j |
-19763185027072/41576341851 |
j-invariant |
L |
2.7979785213889 |
L(r)(E,1)/r! |
Ω |
0.46632975356773 |
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 |
18216f1 12144g1 |
Quadratic twists by: -4 -3 |