Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456x |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1485965573554176 = 216 · 38 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28577,-142785] |
[a1,a2,a3,a4,a6] |
j |
39383007958948/22674035241 |
j-invariant |
L |
3.1972810217379 |
L(r)(E,1)/r! |
Ω |
0.3996601277172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456br4 3432g3 82368bu4 |
Quadratic twists by: -4 8 -3 |