Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800w |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-16928000000 = -1 · 211 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -4 -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,-6112] |
[a1,a2,a3,a4,a6] |
Generators |
[1754:26075:8] |
Generators of the group modulo torsion |
j |
46 |
j-invariant |
L |
6.2490146606469 |
L(r)(E,1)/r! |
Ω |
0.59872014955815 |
Real period |
R |
5.2186440366502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4232b1 105800x1 |
Quadratic twists by: 5 -23 |