Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bw |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3592415084544 = 221 · 32 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319649,69666369] |
[a1,a2,a3,a4,a6] |
j |
13778603383488553/13703976 |
j-invariant |
L |
1.3248089074318 |
L(r)(E,1)/r! |
Ω |
0.662404453716 |
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 |
27456bc4 6864u4 82368ee4 |
Quadratic twists by: -4 8 -3 |