Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13794s |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-175212712224 = -1 · 25 · 39 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11- -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1328,7742] |
[a1,a2,a3,a4,a6] |
j |
17709945143/11967264 |
j-invariant |
L |
1.9169578904221 |
L(r)(E,1)/r! |
Ω |
0.63898596347405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110352bc1 41382cs1 13794bj1 |
Quadratic twists by: -4 -3 -11 |