Atkin-Lehner |
2- 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758u |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
222024153079872 = 26 · 310 · 112 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27185,1575969] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:1368:1] |
Generators of the group modulo torsion |
j |
3047678972871625/304559880768 |
j-invariant |
L |
10.308014131329 |
L(r)(E,1)/r! |
Ω |
0.54383107028114 |
Real period |
R |
0.78976838999526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586b1 |
Quadratic twists by: -3 |