Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ip |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
904394531250000 = 24 · 33 · 514 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38033,2448438] |
[a1,a2,a3,a4,a6] |
j |
70954958848/10546875 |
j-invariant |
L |
2.865535382096 |
L(r)(E,1)/r! |
Ω |
0.47758923060428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700g1 11760bp1 58800fr1 |
Quadratic twists by: -4 5 -7 |