Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200w |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-207718750000 = -1 · 24 · 59 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 0 2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,250,-21875] |
[a1,a2,a3,a4,a6] |
Generators |
[1758:14041:27] |
Generators of the group modulo torsion |
j |
55296/6647 |
j-invariant |
L |
5.9576629771752 |
L(r)(E,1)/r! |
Ω |
0.4741042698736 |
Real period |
R |
6.2830724738789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78200m1 |
Quadratic twists by: 5 |