Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096k |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2019963681792 = -1 · 210 · 36 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,-95472] |
[a1,a2,a3,a4,a6] |
Generators |
[406:8086:1] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
6.6945561398424 |
L(r)(E,1)/r! |
Ω |
0.31025371997157 |
Real period |
R |
5.3944205249455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048g1 1104e1 |
Quadratic twists by: -4 -7 |