Atkin-Lehner |
3+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58425b |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-1197895078125 = -1 · 39 · 57 · 19 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17188,-876094] |
[a1,a2,a3,a4,a6] |
j |
-35940267099001/76665285 |
j-invariant |
L |
0.41690545703917 |
L(r)(E,1)/r! |
Ω |
0.20845272731982 |
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 |
11685e1 |
Quadratic twists by: 5 |