Atkin-Lehner |
3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7227b |
Isogeny class |
Conductor |
7227 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17409843 = 33 · 112 · 732 |
Discriminant |
Eigenvalues |
1 3+ 2 4 11- 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66,-35] |
[a1,a2,a3,a4,a6] |
j |
1187648379/644809 |
j-invariant |
L |
3.5700696977861 |
L(r)(E,1)/r! |
Ω |
1.7850348488931 |
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 |
115632l2 7227a2 79497b2 |
Quadratic twists by: -4 -3 -11 |