Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280bm |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
-1938081783600 = -1 · 24 · 37 · 52 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2742,-37843] |
[a1,a2,a3,a4,a6] |
j |
195469297664/166159275 |
j-invariant |
L |
3.668887723013 |
L(r)(E,1)/r! |
Ω |
0.45861114064896 |
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 |
38760e1 |
Quadratic twists by: -3 |