Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290br |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
89580157526246400 = 210 · 316 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131882,-11476119] |
[a1,a2,a3,a4,a6] |
j |
347976303576792409/122880874521600 |
j-invariant |
L |
5.1563355782714 |
L(r)(E,1)/r! |
Ω |
0.25781677891066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430c1 |
Quadratic twists by: -3 |