Atkin-Lehner |
2- 5+ 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116150o |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-11342773437500 = -1 · 22 · 513 · 23 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -3 -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7188,284492] |
[a1,a2,a3,a4,a6] |
j |
-2628643361401/725937500 |
j-invariant |
L |
2.7240851300352 |
L(r)(E,1)/r! |
Ω |
0.68102146686911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23230d1 |
Quadratic twists by: 5 |