Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101866o |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1781760 |
Modular degree for the optimal curve |
Δ |
-180812899937492 = -1 · 22 · 318 · 53 |
Discriminant |
Eigenvalues |
2- 3 0 2 2 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-633960,194445151] |
[a1,a2,a3,a4,a6] |
Generators |
[-56118:4019945:216] |
Generators of the group modulo torsion |
j |
-31749616004625/203732 |
j-invariant |
L |
20.989301223841 |
L(r)(E,1)/r! |
Ω |
0.50797911619005 |
Real period |
R |
5.1649025787581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3286e1 |
Quadratic twists by: -31 |