Atkin-Lehner |
2+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
80560f |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
468864 |
Modular degree for the optimal curve |
Δ |
-18176350000000000 = -1 · 210 · 511 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65200,-985052] |
[a1,a2,a3,a4,a6] |
Generators |
[166:3800:1] [66:1900:1] |
Generators of the group modulo torsion |
j |
29933664154027196/17750341796875 |
j-invariant |
L |
7.648959818799 |
L(r)(E,1)/r! |
Ω |
0.22689706868898 |
Real period |
R |
0.25538745664989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40280e1 |
Quadratic twists by: -4 |