Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18392d |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
94785599744 = 28 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8591,306130] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:18:1] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
4.4923716245916 |
L(r)(E,1)/r! |
Ω |
1.0665955930477 |
Real period |
R |
4.2118790419478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36784h1 1672c1 |
Quadratic twists by: -4 -11 |