Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537p |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13478400 |
Modular degree for the optimal curve |
Δ |
-2.9851937705504E+24 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15837022,79510507803] |
[a1,a2,a3,a4,a6] |
Generators |
[29647:5143405:1] |
Generators of the group modulo torsion |
j |
247963729379947346375/1685064059634661407 |
j-invariant |
L |
5.5384628936731 |
L(r)(E,1)/r! |
Ω |
0.058243787377592 |
Real period |
R |
7.9242541719343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897d1 |
Quadratic twists by: -11 |