Atkin-Lehner |
3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27495c |
Isogeny class |
Conductor |
27495 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
26807625 = 33 · 53 · 132 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-354,-2465] |
[a1,a2,a3,a4,a6] |
j |
181995075963/992875 |
j-invariant |
L |
3.3025937381137 |
L(r)(E,1)/r! |
Ω |
1.1008645793715 |
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 |
27495b1 |
Quadratic twists by: -3 |