Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937f |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
857727023167197 = 315 · 173 · 233 |
Discriminant |
Eigenvalues |
0 3- 0 -3 0 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71760,-7263567] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:364:1] |
Generators of the group modulo torsion |
j |
4607442944000/96702579 |
j-invariant |
L |
2.9609668605158 |
L(r)(E,1)/r! |
Ω |
0.29206752405018 |
Real period |
R |
1.2672441366529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26979m1 80937n1 |
Quadratic twists by: -3 -23 |