Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360ba |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
94740840000 = 26 · 38 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1533,17732] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:108:1] [-19:200:1] |
Generators of the group modulo torsion |
j |
8539701184/2030625 |
j-invariant |
L |
6.9831642550221 |
L(r)(E,1)/r! |
Ω |
1.0045096047957 |
Real period |
R |
3.4759071599134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27360i1 54720bz2 9120e1 |
Quadratic twists by: -4 8 -3 |