Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490z |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1742400 |
Modular degree for the optimal curve |
Δ |
-881330674372515840 = -1 · 211 · 3 · 5 · 119 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-409588,110509298] |
[a1,a2,a3,a4,a6] |
j |
-3222772836011/373770240 |
j-invariant |
L |
1.636946663493 |
L(r)(E,1)/r! |
Ω |
0.27282443179711 |
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 |
83490cm1 |
Quadratic twists by: -11 |