Atkin-Lehner |
2- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
129712x |
Isogeny class |
Conductor |
129712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-31531237926797312 = -1 · 215 · 118 · 672 |
Discriminant |
Eigenvalues |
2- 0 4 4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52877,-7147470] |
[a1,a2,a3,a4,a6] |
j |
2253243231/4345352 |
j-invariant |
L |
6.1915444545637 |
L(r)(E,1)/r! |
Ω |
0.19348573108885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16214c2 11792c2 |
Quadratic twists by: -4 -11 |