Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560o |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-419010969600 = -1 · 224 · 33 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2412,55216] |
[a1,a2,a3,a4,a6] |
j |
-219256227/59200 |
j-invariant |
L |
3.5883139508693 |
L(r)(E,1)/r! |
Ω |
0.89707849901778 |
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 |
106560dv1 3330n1 106560b1 |
Quadratic twists by: -4 8 -3 |