Atkin-Lehner |
3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7227d |
Isogeny class |
Conductor |
7227 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-81725604533448579 = -1 · 315 · 114 · 733 |
Discriminant |
Eigenvalues |
2 3- -1 -2 11+ -2 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-510123,140909197] |
[a1,a2,a3,a4,a6] |
j |
-20138211563024060416/112106453406651 |
j-invariant |
L |
2.7518992871277 |
L(r)(E,1)/r! |
Ω |
0.34398741089097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115632ba1 2409c1 79497q1 |
Quadratic twists by: -4 -3 -11 |