Atkin-Lehner |
2- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100b |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-290500000000 = -1 · 28 · 59 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -2 2 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-908,-27688] |
[a1,a2,a3,a4,a6] |
j |
-20720464/72625 |
j-invariant |
L |
2.395129501438 |
L(r)(E,1)/r! |
Ω |
0.39918825054426 |
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 |
11620e1 |
Quadratic twists by: 5 |