Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344bc |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-6079168 = -1 · 26 · 43 · 472 |
Discriminant |
Eigenvalues |
2- 0 0 4 -3 7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260,-1618] |
[a1,a2,a3,a4,a6] |
j |
-30371328000/94987 |
j-invariant |
L |
1.1887062737567 |
L(r)(E,1)/r! |
Ω |
0.59435358545855 |
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 |
129344a1 32336g1 |
Quadratic twists by: -4 8 |