Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586z |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-393188441976 = -1 · 23 · 36 · 113 · 373 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77144,-8227821] |
[a1,a2,a3,a4,a6] |
Generators |
[399:4739:1] |
Generators of the group modulo torsion |
j |
-52326213849827/405224 |
j-invariant |
L |
8.0187147613329 |
L(r)(E,1)/r! |
Ω |
0.14323338598215 |
Real period |
R |
4.6652966106375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8954a1 80586f1 |
Quadratic twists by: -3 -11 |