Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110bb |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-579585500 = -1 · 22 · 53 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- -2 3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,120,1052] |
[a1,a2,a3,a4,a6] |
Generators |
[4:38:1] |
Generators of the group modulo torsion |
j |
1130197991/3429500 |
j-invariant |
L |
10.10597367689 |
L(r)(E,1)/r! |
Ω |
1.1521498460315 |
Real period |
R |
1.4619009427895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110d1 |
Quadratic twists by: 13 |