Atkin-Lehner |
2- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670t |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-4723550 = -1 · 2 · 52 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 5 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123,-503] |
[a1,a2,a3,a4,a6] |
j |
-92959677/2150 |
j-invariant |
L |
11.460285218083 |
L(r)(E,1)/r! |
Ω |
0.71626782669843 |
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 |
72670m1 |
Quadratic twists by: 13 |