Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610n |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-960898472100 = -1 · 22 · 314 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-720,47445] |
[a1,a2,a3,a4,a6] |
j |
-41281826100481/960898472100 |
j-invariant |
L |
2.9563684719427 |
L(r)(E,1)/r! |
Ω |
0.73909211798568 |
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 |
68880cp2 25830n2 43050n2 60270bo2 |
Quadratic twists by: -4 -3 5 -7 |