Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600bs |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-21196800000000 = -1 · 218 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1592,-220688] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1062:1] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
4.900958457432 |
L(r)(E,1)/r! |
Ω |
0.32620013688028 |
Real period |
R |
3.7560977934467 |
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 |
3450h1 110400in1 82800de1 5520y1 |
Quadratic twists by: -4 8 -3 5 |