Atkin-Lehner |
3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8091a |
Isogeny class |
Conductor |
8091 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-17695017 = -1 · 39 · 29 · 31 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 -1 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1581,-23806] |
[a1,a2,a3,a4,a6] |
Generators |
[1650:7924:27] |
Generators of the group modulo torsion |
j |
-22211737731/899 |
j-invariant |
L |
5.0164513035977 |
L(r)(E,1)/r! |
Ω |
0.37854948639541 |
Real period |
R |
6.6258857611522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456v1 8091b1 |
Quadratic twists by: -4 -3 |