Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13920bd |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
2422080 = 26 · 32 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50,-132] |
[a1,a2,a3,a4,a6] |
j |
220348864/37845 |
j-invariant |
L |
3.6268265934629 |
L(r)(E,1)/r! |
Ω |
1.8134132967314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13920x1 27840cn2 41760e1 69600a1 |
Quadratic twists by: -4 8 -3 5 |