Atkin-Lehner |
3- 7- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85491k |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63744 |
Modular degree for the optimal curve |
Δ |
-560906451 = -1 · 310 · 7 · 23 · 59 |
Discriminant |
Eigenvalues |
2 3- -3 7- 5 -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-489,4315] |
[a1,a2,a3,a4,a6] |
j |
-17738739712/769419 |
j-invariant |
L |
3.2482918982232 |
L(r)(E,1)/r! |
Ω |
1.6241459372203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28497d1 |
Quadratic twists by: -3 |