Atkin-Lehner |
2+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600i |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1258669750000 = -1 · 24 · 56 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 -2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13408,-595563] |
[a1,a2,a3,a4,a6] |
Generators |
[5466:60047:27] |
Generators of the group modulo torsion |
j |
-1066370439424/5034679 |
j-invariant |
L |
10.308703836514 |
L(r)(E,1)/r! |
Ω |
0.22177020548043 |
Real period |
R |
3.8736432207623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224c1 |
Quadratic twists by: 5 |