Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bz |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
114000 |
Modular degree for the optimal curve |
Δ |
-2093201416800 = -1 · 25 · 35 · 52 · 135 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,197,69617] |
[a1,a2,a3,a4,a6] |
j |
33809954855/83728056672 |
j-invariant |
L |
3.2402072322065 |
L(r)(E,1)/r! |
Ω |
0.6480414471801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
56550n2 |
Quadratic twists by: 5 |