Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530df |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2361216 |
Modular degree for the optimal curve |
Δ |
3284287597574930430 = 2 · 313 · 5 · 118 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-559325,-135400605] |
[a1,a2,a3,a4,a6] |
j |
90276554062321/15321444030 |
j-invariant |
L |
4.5914489520695 |
L(r)(E,1)/r! |
Ω |
0.17659420287335 |
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 |
112530bg1 |
Quadratic twists by: -11 |