Atkin-Lehner |
3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7227a |
Isogeny class |
Conductor |
7227 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12691775547 = 39 · 112 · 732 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 11+ 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-596,1540] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:76:1] |
Generators of the group modulo torsion |
j |
1187648379/644809 |
j-invariant |
L |
2.6759366600959 |
L(r)(E,1)/r! |
Ω |
1.1018125238339 |
Real period |
R |
1.2143339280555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115632r2 7227b2 79497a2 |
Quadratic twists by: -4 -3 -11 |