Atkin-Lehner |
17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37553b |
Isogeny class |
Conductor |
37553 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.2228650527171E+19 |
Discriminant |
Eigenvalues |
-1 2 0 -2 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-779823,204489854] |
[a1,a2,a3,a4,a6] |
Generators |
[-161016:10557539:512] |
Generators of the group modulo torsion |
j |
4865469108625/1134465743 |
j-invariant |
L |
5.0850554032566 |
L(r)(E,1)/r! |
Ω |
0.21206981005223 |
Real period |
R |
3.9963690902893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
799b2 |
Quadratic twists by: -47 |