Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304w |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
4771364928 = 26 · 3 · 112 · 593 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205386,-35895048] |
[a1,a2,a3,a4,a6] |
j |
14971260367059691456/74552577 |
j-invariant |
L |
6.0550876411677 |
L(r)(E,1)/r! |
Ω |
0.2242625052526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304f1 124608n1 |
Quadratic twists by: -4 8 |