Atkin-Lehner |
2+ 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
19272a |
Isogeny class |
Conductor |
19272 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2928196313856 = -1 · 28 · 35 · 112 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11+ 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3455,-24733] |
[a1,a2,a3,a4,a6] |
Generators |
[281:4818:1] |
Generators of the group modulo torsion |
j |
17811569736704/11438266851 |
j-invariant |
L |
6.0210225077692 |
L(r)(E,1)/r! |
Ω |
0.45983011437292 |
Real period |
R |
0.10911679334697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38544b1 57816i1 |
Quadratic twists by: -4 -3 |