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 |
Δ |
177630216192 = 217 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1409,-1407] |
[a1,a2,a3,a4,a6] |
j |
2361864386/1355211 |
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 |
27456cn2 3432i2 82368ci2 |
Quadratic twists by: -4 8 -3 |