Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18612h |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4396079952 = 24 · 312 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1632,-25175] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:13:1] [-22:9:1] |
Generators of the group modulo torsion |
j |
41213231104/376893 |
j-invariant |
L |
5.6961913265271 |
L(r)(E,1)/r! |
Ω |
0.75155229227236 |
Real period |
R |
2.5264116172606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448bs1 6204g1 |
Quadratic twists by: -4 -3 |