Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710k |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2234607078592E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-596664,-55961280] |
[a1,a2,a3,a4,a6] |
j |
32224493437735955329/16782725759385600 |
j-invariant |
L |
1.455177775095 |
L(r)(E,1)/r! |
Ω |
0.18189722188688 |
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 |
85680fa2 3570x2 53550ds2 74970bf2 |
Quadratic twists by: -4 -3 5 -7 |