Atkin-Lehner |
3- 11+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80883h |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27392 |
Modular degree for the optimal curve |
Δ |
72066753 = 36 · 112 · 19 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186,935] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:37:1] |
Generators of the group modulo torsion |
j |
979146657/98857 |
j-invariant |
L |
6.1397777901284 |
L(r)(E,1)/r! |
Ω |
1.8882437942259 |
Real period |
R |
1.6257905372998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8987c1 |
Quadratic twists by: -3 |