Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13376f |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-187895775232 = -1 · 217 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1396,-5648] |
[a1,a2,a3,a4,a6] |
j |
2295461646/1433531 |
j-invariant |
L |
1.1630683096374 |
L(r)(E,1)/r! |
Ω |
0.58153415481871 |
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 |
13376n4 1672c4 120384u3 |
Quadratic twists by: -4 8 -3 |