Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928eo |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-839825333422129152 = -1 · 228 · 312 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116940,-46700656] |
[a1,a2,a3,a4,a6] |
Generators |
[15929451915910:7858565030375424:65450827] |
Generators of the group modulo torsion |
j |
-925434168625/4394621952 |
j-invariant |
L |
9.1084563609213 |
L(r)(E,1)/r! |
Ω |
0.11683286764813 |
Real period |
R |
19.490355301789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999509969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bh1 29232bk1 38976bg1 |
Quadratic twists by: -4 8 -3 |