Atkin-Lehner |
2+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45662b |
Isogeny class |
Conductor |
45662 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22032 |
Modular degree for the optimal curve |
Δ |
-1139906168 = -1 · 23 · 172 · 793 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 -6 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-405,-3707] |
[a1,a2,a3,a4,a6] |
Generators |
[37:165:1] |
Generators of the group modulo torsion |
j |
-25519101625/3944312 |
j-invariant |
L |
2.0563787935793 |
L(r)(E,1)/r! |
Ω |
0.52745244017666 |
Real period |
R |
3.8986999337482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45662h1 |
Quadratic twists by: 17 |