Atkin-Lehner |
3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145k |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-275634927945 = -1 · 35 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- -1 2 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6088,184043] |
[a1,a2,a3,a4,a6] |
Generators |
[37:80:1] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
11.328974659218 |
L(r)(E,1)/r! |
Ω |
0.98184614360471 |
Real period |
R |
2.3076883803525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999777254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
705e1 |
Quadratic twists by: 13 |