Atkin-Lehner |
2- 3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bx |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
93743568000 = 27 · 38 · 53 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43457,3497681] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-236:1] |
Generators of the group modulo torsion |
j |
12449905094929609/128592000 |
j-invariant |
L |
10.63875000936 |
L(r)(E,1)/r! |
Ω |
0.96771619314765 |
Real period |
R |
0.26175398676543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790e1 |
Quadratic twists by: -3 |