Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bi |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7772160 |
Modular degree for the optimal curve |
Δ |
-1.6493186621304E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 6 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19402309,32894210915] |
[a1,a2,a3,a4,a6] |
Generators |
[698306:14696781:343] |
Generators of the group modulo torsion |
j |
-1190106112/243 |
j-invariant |
L |
9.0944988933535 |
L(r)(E,1)/r! |
Ω |
0.176358242681 |
Real period |
R |
10.313664675978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cq1 12696c1 101568ba1 |
Quadratic twists by: -4 8 -23 |