Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bx |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
170490471840 = 25 · 38 · 5 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7907,-267901] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:52:1] |
Generators of the group modulo torsion |
j |
74985951512809/233868960 |
j-invariant |
L |
10.648163125583 |
L(r)(E,1)/r! |
Ω |
0.50638675949171 |
Real period |
R |
1.0513864083128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090l2 |
Quadratic twists by: -3 |