Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cy |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-2.9959899423666E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-688425,-861365493] |
[a1,a2,a3,a4,a6] |
j |
-7475384530020889/62069784455250 |
j-invariant |
L |
6.5579661810398 |
L(r)(E,1)/r! |
Ω |
0.072866290885256 |
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 |
4290l1 |
Quadratic twists by: 13 |