Atkin-Lehner |
2- 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320t |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-552448000 = -1 · 212 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- 3 -2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272,-2064] |
[a1,a2,a3,a4,a6] |
Generators |
[226:905:8] |
Generators of the group modulo torsion |
j |
-543338496/134875 |
j-invariant |
L |
6.8838993963161 |
L(r)(E,1)/r! |
Ω |
0.58021221865765 |
Real period |
R |
3.9548169768981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5395c1 |
Quadratic twists by: -4 |