Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13376m |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-23486971904 = -1 · 214 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 1 3 -2 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2469,46979] |
[a1,a2,a3,a4,a6] |
j |
-101634915328/1433531 |
j-invariant |
L |
2.4080142627706 |
L(r)(E,1)/r! |
Ω |
1.2040071313853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13376k1 3344c1 120384dm1 |
Quadratic twists by: -4 8 -3 |