Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688k |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.6742632914078E+19 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 3 -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3068449,-2099320159] |
[a1,a2,a3,a4,a6] |
Generators |
[2035:8924:1] |
Generators of the group modulo torsion |
j |
-12188230526616079753/216455966621696 |
j-invariant |
L |
3.9393316992463 |
L(r)(E,1)/r! |
Ω |
0.056974715704425 |
Real period |
R |
5.7618127189379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42688p2 1334c2 |
Quadratic twists by: -4 8 |