Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928dw |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7332047880192 = 218 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117863436,492511936016] |
[a1,a2,a3,a4,a6] |
j |
947531277805646290177/38367 |
j-invariant |
L |
1.1010310046211 |
L(r)(E,1)/r! |
Ω |
0.27525764407128 |
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 |
116928ck4 29232ba4 38976bb4 |
Quadratic twists by: -4 8 -3 |