Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840b |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
22419729285120 = 234 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7201,-56159] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:39:1] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
4.5935070599039 |
L(r)(E,1)/r! |
Ω |
0.55267804044868 |
Real period |
R |
4.1556808157012 |
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 |
27840dg1 870d1 83520cs1 |
Quadratic twists by: -4 8 -3 |