Atkin-Lehner |
2- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320bf |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
6062489600 = 214 · 52 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,132800] |
[a1,a2,a3,a4,a6] |
Generators |
[85:570:1] |
Generators of the group modulo torsion |
j |
3138428376721/1480100 |
j-invariant |
L |
10.393360295493 |
L(r)(E,1)/r! |
Ω |
1.3242894907087 |
Real period |
R |
1.9620635005704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7790g1 |
Quadratic twists by: -4 |