Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27040n |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-84835994984000000 = -1 · 29 · 56 · 139 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68107,15594306] |
[a1,a2,a3,a4,a6] |
Generators |
[4562:307650:1] |
Generators of the group modulo torsion |
j |
-6434856/15625 |
j-invariant |
L |
5.7119503508884 |
L(r)(E,1)/r! |
Ω |
0.30191320130526 |
Real period |
R |
6.3063935000676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27040v2 54080z2 27040q2 |
Quadratic twists by: -4 8 13 |