Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304u |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-645967872 = -1 · 212 · 35 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,1227] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-36:1] |
Generators of the group modulo torsion |
j |
8000000/157707 |
j-invariant |
L |
5.8679683436471 |
L(r)(E,1)/r! |
Ω |
1.2095952332669 |
Real period |
R |
0.48511834229836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62304g1 124608o1 |
Quadratic twists by: -4 8 |