Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224be |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.70277008382E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -6 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67766120,212144602164] |
[a1,a2,a3,a4,a6] |
Generators |
[-7844:511014:1] |
Generators of the group modulo torsion |
j |
8402366714652252775019881/114813722749510887552 |
j-invariant |
L |
4.6932900548144 |
L(r)(E,1)/r! |
Ω |
0.093793671785019 |
Real period |
R |
3.1274031908916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278d2 102672cd2 |
Quadratic twists by: -4 -3 |