Atkin-Lehner |
3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145p |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
180576 |
Modular degree for the optimal curve |
Δ |
-826904783835 = -1 · 36 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
0 3- 5- -2 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1465,38549] |
[a1,a2,a3,a4,a6] |
j |
71991296/171315 |
j-invariant |
L |
3.7313074627438 |
L(r)(E,1)/r! |
Ω |
0.62188462290072 |
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 |
705c1 |
Quadratic twists by: 13 |