Atkin-Lehner |
2- 3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942q |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
34096812288 = 28 · 3 · 74 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1432,18752] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:148:1] |
Generators of the group modulo torsion |
j |
324766870791553/34096812288 |
j-invariant |
L |
10.133508837569 |
L(r)(E,1)/r! |
Ω |
1.128880419607 |
Real period |
R |
1.122075095551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826j1 |
Quadratic twists by: -3 |