Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950ba |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-75273046875000 = -1 · 23 · 35 · 511 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145501,-21378352] |
[a1,a2,a3,a4,a6] |
j |
-21802049928722881/4817475000 |
j-invariant |
L |
1.2222160272825 |
L(r)(E,1)/r! |
Ω |
0.1222215156466 |
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 |
23790n1 |
Quadratic twists by: 5 |