Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142y |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
133920 |
Modular degree for the optimal curve |
Δ |
56173771776 = 210 · 3 · 192 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 1 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9954,-382908] |
[a1,a2,a3,a4,a6] |
Generators |
[-1572:1082:27] |
Generators of the group modulo torsion |
j |
302142728178937/155606016 |
j-invariant |
L |
15.008990699217 |
L(r)(E,1)/r! |
Ω |
0.47798398163557 |
Real period |
R |
1.0466871469073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142a1 |
Quadratic twists by: -19 |