Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270cb |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
699117491088900 = 22 · 316 · 52 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23162,477461] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1389:1] |
Generators of the group modulo torsion |
j |
1884980132364889/959008904100 |
j-invariant |
L |
7.7214049173707 |
L(r)(E,1)/r! |
Ω |
0.44929764726239 |
Real period |
R |
4.2963751114749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090o2 |
Quadratic twists by: -3 |