Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bf |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-52746616832 = -1 · 215 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 5 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,11039] |
[a1,a2,a3,a4,a6] |
j |
-125000/1609699 |
j-invariant |
L |
3.589828311316 |
L(r)(E,1)/r! |
Ω |
0.8974571643745 |
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 |
110656bm1 55328b1 |
Quadratic twists by: -4 8 |