Atkin-Lehner |
3+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997a |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4204032 |
Modular degree for the optimal curve |
Δ |
-4.4382005523717E+21 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ -3 -6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,167613,3205082936] |
[a1,a2,a3,a4,a6] |
Generators |
[840:62752:1] |
Generators of the group modulo torsion |
j |
90335800819712/769879229546979 |
j-invariant |
L |
2.9248467788988 |
L(r)(E,1)/r! |
Ω |
0.10868503077063 |
Real period |
R |
6.7278050060173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80997o1 |
Quadratic twists by: -7 |