Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800bm |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-126094218750000 = -1 · 24 · 39 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33750,-2446875] |
[a1,a2,a3,a4,a6] |
j |
-1382400/41 |
j-invariant |
L |
2.8129523505564 |
L(r)(E,1)/r! |
Ω |
0.17580952254218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800c1 73800i1 |
Quadratic twists by: -3 5 |