Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656m |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
11728027648 = 215 · 713 |
Discriminant |
Eigenvalues |
2- -1 0 3 6 -3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2248,-39952] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:16:1] |
Generators of the group modulo torsion |
j |
857375/8 |
j-invariant |
L |
5.5471505134104 |
L(r)(E,1)/r! |
Ω |
0.69371161788956 |
Real period |
R |
0.99954187905799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082c1 80656n1 |
Quadratic twists by: -4 -71 |