Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600w |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-104780000000 = -1 · 28 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 4 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-15563] |
[a1,a2,a3,a4,a6] |
Generators |
[27:50:1] |
Generators of the group modulo torsion |
j |
-1024/26195 |
j-invariant |
L |
5.7999125082503 |
L(r)(E,1)/r! |
Ω |
0.48333262588954 |
Real period |
R |
1.4999795688903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120b1 |
Quadratic twists by: 5 |