Atkin-Lehner |
3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771u |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10204192205034597 = -1 · 34 · 7 · 117 · 314 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27888,-4515147] |
[a1,a2,a3,a4,a6] |
Generators |
[1251:43968:1] |
Generators of the group modulo torsion |
j |
1354000227047/5760000477 |
j-invariant |
L |
6.2797127170008 |
L(r)(E,1)/r! |
Ω |
0.20582508051984 |
Real period |
R |
3.8137436294949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7161g4 |
Quadratic twists by: -11 |