Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410g |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
551996041888000 = 28 · 53 · 297 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59028,-5388169] |
[a1,a2,a3,a4,a6] |
j |
38238692409/928000 |
j-invariant |
L |
1.226981267908 |
L(r)(E,1)/r! |
Ω |
0.30674531697699 |
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 |
67280k1 75690q1 42050c1 290a1 |
Quadratic twists by: -4 -3 5 29 |