Atkin-Lehner |
3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271r |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
142878373209 = 32 · 11 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 2 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11749,-490816] |
[a1,a2,a3,a4,a6] |
j |
37159393753/29601 |
j-invariant |
L |
1.8343424642463 |
L(r)(E,1)/r! |
Ω |
0.45858506224191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867j1 |
Quadratic twists by: 13 |