Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950w |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
203601406250000 = 24 · 510 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24938,1341031] |
[a1,a2,a3,a4,a6] |
j |
109771509498841/13030490000 |
j-invariant |
L |
8.7189327241735 |
L(r)(E,1)/r! |
Ω |
0.54493329529307 |
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 |
9790f1 |
Quadratic twists by: 5 |