Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45152b |
Isogeny class |
Conductor |
45152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
7495232 = 26 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ 2 -4 -2 -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
220348864/117113 |
j-invariant |
L |
3.6922064028819 |
L(r)(E,1)/r! |
Ω |
2.0569301899044 |
Real period |
R |
1.7950081247309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45152f1 90304g2 |
Quadratic twists by: -4 8 |