Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bg |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
214656 |
Modular degree for the optimal curve |
Δ |
1853894727630 = 2 · 313 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4623,101308] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:447:1] |
Generators of the group modulo torsion |
j |
90276554062321/15321444030 |
j-invariant |
L |
8.2145106905688 |
L(r)(E,1)/r! |
Ω |
0.79594983822778 |
Real period |
R |
0.39693797568974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530df1 |
Quadratic twists by: -11 |