Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822c |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1.8884475867192E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7641702,-8126200908] |
[a1,a2,a3,a4,a6] |
j |
67696545704741420118625/25904630819192832 |
j-invariant |
L |
0.36322175523406 |
L(r)(E,1)/r! |
Ω |
0.090805468025456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274bj1 |
Quadratic twists by: -3 |