Atkin-Lehner |
5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31775g |
Isogeny class |
Conductor |
31775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4.4578614996104E+19 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 -2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-769276,413015823] |
[a1,a2,a3,a4,a6] |
Generators |
[4854:101791:8] |
Generators of the group modulo torsion |
j |
-3222177234641911729/2853031359750625 |
j-invariant |
L |
3.6652704040635 |
L(r)(E,1)/r! |
Ω |
0.18503002242707 |
Real period |
R |
1.6507548144465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355b2 |
Quadratic twists by: 5 |