Atkin-Lehner |
3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8091b |
Isogeny class |
Conductor |
8091 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-24273 = -1 · 33 · 29 · 31 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 1 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-176,940] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:29:1] [8:-4:1] |
Generators of the group modulo torsion |
j |
-22211737731/899 |
j-invariant |
L |
3.2199400402195 |
L(r)(E,1)/r! |
Ω |
3.5527133846459 |
Real period |
R |
0.45316631143625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bb1 8091a1 |
Quadratic twists by: -4 -3 |