Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990x |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
14230602547200000 = 218 · 37 · 55 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62649,-1851795] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1497:1] |
Generators of the group modulo torsion |
j |
37302892848428689/19520716800000 |
j-invariant |
L |
6.2182006838931 |
L(r)(E,1)/r! |
Ω |
0.31976943130962 |
Real period |
R |
0.97229442139679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330z1 |
Quadratic twists by: -3 |