Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032l |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1907712 |
Modular degree for the optimal curve |
Δ |
-1.6208414299071E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 0 -3 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,259563,-186978851] |
[a1,a2,a3,a4,a6] |
Generators |
[155598:4173281:216] |
Generators of the group modulo torsion |
j |
262144/2197 |
j-invariant |
L |
1.2951700505806 |
L(r)(E,1)/r! |
Ω |
0.10913951912555 |
Real period |
R |
5.9335520181217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000174896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6877b1 110032k1 |
Quadratic twists by: -4 -23 |