Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1324800000000 = 214 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,16463] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-600:1] |
Generators of the group modulo torsion |
j |
393040/207 |
j-invariant |
L |
9.9185250531102 |
L(r)(E,1)/r! |
Ω |
0.75288844648341 |
Real period |
R |
0.54891515270324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400cb1 27600ce1 110400fx1 |
Quadratic twists by: -4 8 5 |