Atkin-Lehner |
2- 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47560f |
Isogeny class |
Conductor |
47560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-60876800 = -1 · 211 · 52 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 5 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4603,-120202] |
[a1,a2,a3,a4,a6] |
j |
-5266434468258/29725 |
j-invariant |
L |
5.2165295672078 |
L(r)(E,1)/r! |
Ω |
0.28980719819125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95120d1 |
Quadratic twists by: -4 |