Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
83148i |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5539680 |
Modular degree for the optimal curve |
Δ |
-17672608512 = -1 · 28 · 35 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258493733,-1599729430233] |
[a1,a2,a3,a4,a6] |
j |
-44151666340655291392000000/408483 |
j-invariant |
L |
0.56477860676916 |
L(r)(E,1)/r! |
Ω |
0.018825956648306 |
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 |
83148g1 |
Quadratic twists by: 13 |