Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27328h |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-26031996928 = -1 · 214 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -6 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4373,-110131] |
[a1,a2,a3,a4,a6] |
j |
-564600832000/1588867 |
j-invariant |
L |
2.6414094281776 |
L(r)(E,1)/r! |
Ω |
0.2934899364642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27328r2 1708b2 |
Quadratic twists by: -4 8 |