Atkin-Lehner |
2- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360n |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-21237432320 = -1 · 215 · 5 · 133 · 59 |
Discriminant |
Eigenvalues |
2- -1 5- 0 2 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,480,-5888] |
[a1,a2,a3,a4,a6] |
j |
2979767519/5184920 |
j-invariant |
L |
2.5425818178975 |
L(r)(E,1)/r! |
Ω |
0.63564545510332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670h1 |
Quadratic twists by: -4 |