Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11374l |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3663588148 = -1 · 22 · 117 · 47 |
Discriminant |
Eigenvalues |
2- -2 -2 5 11- 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1394,-20360] |
[a1,a2,a3,a4,a6] |
j |
-169112377/2068 |
j-invariant |
L |
3.1230290251703 |
L(r)(E,1)/r! |
Ω |
0.39037862814629 |
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 |
90992s1 102366m1 1034a1 |
Quadratic twists by: -4 -3 -11 |