Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32800k |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
41000000 = 26 · 56 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -6 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358,-2712] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] [28:100:1] |
Generators of the group modulo torsion |
j |
5088448/41 |
j-invariant |
L |
6.1102736844768 |
L(r)(E,1)/r! |
Ω |
1.0978393425403 |
Real period |
R |
2.7828633242168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32800i1 65600bf1 1312a1 |
Quadratic twists by: -4 8 5 |