Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384ca |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7674240 |
Modular degree for the optimal curve |
Δ |
-27874772201622528 = -1 · 210 · 36 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186175155,-977756472898] |
[a1,a2,a3,a4,a6] |
j |
-956007720229412472866500/37340819243 |
j-invariant |
L |
0.36784254118873 |
L(r)(E,1)/r! |
Ω |
0.020435681623209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376d1 |
Quadratic twists by: -3 |