Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bo |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
394901491525632 = 211 · 39 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41067,-3057210] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:378:1] |
Generators of the group modulo torsion |
j |
6652854/343 |
j-invariant |
L |
3.7028384730813 |
L(r)(E,1)/r! |
Ω |
0.33644640295187 |
Real period |
R |
1.8342884308736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85176j1 85176e1 |
Quadratic twists by: -3 13 |