Atkin-Lehner |
2+ 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950b |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
899000000 = 26 · 56 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -2 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-767,-7859] |
[a1,a2,a3,a4,a6] |
j |
3196010817/57536 |
j-invariant |
L |
1.8162628985325 |
L(r)(E,1)/r! |
Ω |
0.90813144945191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798c1 |
Quadratic twists by: 5 |