Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315n |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.4353784553241E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1895934,976193971] |
[a1,a2,a3,a4,a6] |
j |
6406263345210248521/207003753140625 |
j-invariant |
L |
1.6931829801715 |
L(r)(E,1)/r! |
Ω |
0.21164787252144 |
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 |
63945bd2 106575w2 3045f2 |
Quadratic twists by: -3 5 -7 |