Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400o |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
609885356032000000 = 239 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 6 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1050475,-412699750] |
[a1,a2,a3,a4,a6] |
j |
2003092024307193/9529458688 |
j-invariant |
L |
5.3700702397441 |
L(r)(E,1)/r! |
Ω |
0.14916861777068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3550o1 113600cg1 1136d1 |
Quadratic twists by: -4 8 5 |