Atkin-Lehner |
2+ 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730i |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
5436959456250 = 2 · 36 · 55 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4410,-9950] |
[a1,a2,a3,a4,a6] |
j |
13012697849761/7458106250 |
j-invariant |
L |
1.2711886430892 |
L(r)(E,1)/r! |
Ω |
0.63559432148948 |
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 |
4970k1 |
Quadratic twists by: -3 |