Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610n |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
2058754320 = 24 · 37 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1540,22517] |
[a1,a2,a3,a4,a6] |
j |
403927573008961/2058754320 |
j-invariant |
L |
2.9563684719427 |
L(r)(E,1)/r! |
Ω |
1.4781842359714 |
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 |
68880cp1 25830n1 43050n1 60270bo1 |
Quadratic twists by: -4 -3 5 -7 |