Atkin-Lehner |
2- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
4970k |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4400 |
Modular degree for the optimal curve |
Δ |
7458106250 = 2 · 55 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 5 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-490,205] |
[a1,a2,a3,a4,a6] |
j |
13012697849761/7458106250 |
j-invariant |
L |
5.6490574339789 |
L(r)(E,1)/r! |
Ω |
1.1298114867958 |
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 |
39760bg1 44730i1 24850h1 34790u1 |
Quadratic twists by: -4 -3 5 -7 |