Atkin-Lehner |
7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209d |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9455173401583 = -1 · 7 · 136 · 234 |
Discriminant |
Eigenvalues |
1 0 -2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4447,93016] |
[a1,a2,a3,a4,a6] |
Generators |
[37934:2593235:8] |
Generators of the group modulo torsion |
j |
2014698447/1958887 |
j-invariant |
L |
3.2173658546474 |
L(r)(E,1)/r! |
Ω |
0.47861437038449 |
Real period |
R |
6.722250842704 |
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 |
161a4 |
Quadratic twists by: 13 |