Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cu |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
37866768143745024 = 237 · 32 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 11- -1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161985,-23227551] |
[a1,a2,a3,a4,a6] |
j |
1793126264853169/144450256896 |
j-invariant |
L |
2.8702987485387 |
L(r)(E,1)/r! |
Ω |
0.23919156239634 |
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 |
48576y1 12144bf1 |
Quadratic twists by: -4 8 |