Atkin-Lehner |
7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209i |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
811200 |
Modular degree for the optimal curve |
Δ |
-3344455570087734011 = -1 · 72 · 139 · 235 |
Discriminant |
Eigenvalues |
-2 -1 -3 7+ 5 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,284878,65606712] |
[a1,a2,a3,a4,a6] |
j |
241106407424/315380807 |
j-invariant |
L |
0.67595860329379 |
L(r)(E,1)/r! |
Ω |
0.16898965082362 |
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 |
27209o1 |
Quadratic twists by: 13 |