Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705k |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
934136347005015 = 3 · 5 · 74 · 1110 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24626,-225939] |
[a1,a2,a3,a4,a6] |
j |
932288503609/527295615 |
j-invariant |
L |
1.6436408224132 |
L(r)(E,1)/r! |
Ω |
0.4109102056033 |
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 |
38115bc3 63525f3 88935bi3 1155h4 |
Quadratic twists by: -3 5 -7 -11 |