Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ja |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
72357039518515200 = 223 · 35 · 52 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104193,-325377] |
[a1,a2,a3,a4,a6] |
Generators |
[447:-6528:1] [-318:867:1] |
Generators of the group modulo torsion |
j |
19088138515945/11040808032 |
j-invariant |
L |
11.534495943431 |
L(r)(E,1)/r! |
Ω |
0.29103091471567 |
Real period |
R |
0.39633232623847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600bf1 20400ci1 81600hd2 |
Quadratic twists by: -4 8 5 |