Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456j |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2783379456 = -1 · 216 · 33 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,351,-351] |
[a1,a2,a3,a4,a6] |
j |
72765788/42471 |
j-invariant |
L |
1.6919246007077 |
L(r)(E,1)/r! |
Ω |
0.84596230035378 |
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 |
27456cn1 3432i1 82368ci1 |
Quadratic twists by: -4 8 -3 |