Atkin-Lehner |
2- 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47560c |
Isogeny class |
Conductor |
47560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
185781250000 = 24 · 510 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1438,3237] |
[a1,a2,a3,a4,a6] |
j |
20553244452864/11611328125 |
j-invariant |
L |
3.4819660325883 |
L(r)(E,1)/r! |
Ω |
0.87049150804338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95120b1 |
Quadratic twists by: -4 |