Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010p |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
313276377600000 = 212 · 37 · 55 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58140,5342800] |
[a1,a2,a3,a4,a6] |
j |
29814358402261441/429734400000 |
j-invariant |
L |
2.1816683654681 |
L(r)(E,1)/r! |
Ω |
0.54541709120889 |
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 |
17670r1 |
Quadratic twists by: -3 |