Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610t |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
296528400 = 24 · 32 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175,-343] |
[a1,a2,a3,a4,a6] |
j |
592915705201/296528400 |
j-invariant |
L |
5.5305326377936 |
L(r)(E,1)/r! |
Ω |
1.3826331594484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880bq2 25830m2 43050c2 60270r2 |
Quadratic twists by: -4 -3 5 -7 |