Atkin-Lehner |
2- 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608h |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-24476950504767488 = -1 · 215 · 75 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ -3 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37560,8019284] |
[a1,a2,a3,a4,a6] |
j |
-1430711531517241/5975817994328 |
j-invariant |
L |
1.3187035093686 |
L(r)(E,1)/r! |
Ω |
0.32967587686794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826e1 |
Quadratic twists by: -4 |