Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dv |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-589651442977996800 = -1 · 232 · 311 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720435,238246130] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:16362:1] |
Generators of the group modulo torsion |
j |
-553962845641945/7898923008 |
j-invariant |
L |
8.2498060324094 |
L(r)(E,1)/r! |
Ω |
0.29104023775798 |
Real period |
R |
3.5432411632847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950x1 37200bj1 111600fz2 |
Quadratic twists by: -4 -3 5 |