Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304g |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
2 |
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 |
[417:1540:27] |
Generators of the group modulo torsion |
j |
8000000/157707 |
j-invariant |
L |
6.754190049513 |
L(r)(E,1)/r! |
Ω |
0.78746815659827 |
Real period |
R |
4.2885480463997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62304u1 124608y1 |
Quadratic twists by: -4 8 |