Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80736n |
Isogeny class |
Conductor |
80736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-93007872 = -1 · 212 · 33 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -2 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,507] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] |
Generators of the group modulo torsion |
j |
-14848/27 |
j-invariant |
L |
10.843820794141 |
L(r)(E,1)/r! |
Ω |
1.6999388447813 |
Real period |
R |
1.0631579312489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80736i1 80736b1 |
Quadratic twists by: -4 29 |