Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800cf |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-34263000000 = -1 · 26 · 36 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58,8888] |
[a1,a2,a3,a4,a6] |
j |
-21952/34263 |
j-invariant |
L |
5.6208097852999 |
L(r)(E,1)/r! |
Ω |
0.93680155278473 |
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 |
112800f1 4512b1 |
Quadratic twists by: -4 5 |