Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720bl |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-11044350000 = -1 · 24 · 37 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 6 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,5227] |
[a1,a2,a3,a4,a6] |
j |
-112377856/946875 |
j-invariant |
L |
2.1890089793076 |
L(r)(E,1)/r! |
Ω |
1.0945044934126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18180a1 24240bk1 |
Quadratic twists by: -4 -3 |