Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850cm |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-18111093750000 = -1 · 24 · 37 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6755,-294253] |
[a1,a2,a3,a4,a6] |
j |
-2992209121/1590000 |
j-invariant |
L |
4.1105948488113 |
L(r)(E,1)/r! |
Ω |
0.25691217805071 |
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 |
7950j1 4770f1 |
Quadratic twists by: -3 5 |