Atkin-Lehner |
2+ 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730s |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
3419214446592000 = 223 · 38 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41364,1613520] |
[a1,a2,a3,a4,a6] |
j |
10736671807326529/4690280448000 |
j-invariant |
L |
2.4084998917425 |
L(r)(E,1)/r! |
Ω |
0.40141664864526 |
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 |
14910bc1 |
Quadratic twists by: -3 |