Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240cf |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-21489462000 = -1 · 24 · 37 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483,-5749] |
[a1,a2,a3,a4,a6] |
Generators |
[82:765:1] |
Generators of the group modulo torsion |
j |
1068359936/1842375 |
j-invariant |
L |
4.9736656628475 |
L(r)(E,1)/r! |
Ω |
0.63531936118776 |
Real period |
R |
0.21746130838079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3060n2 48960es2 4080r2 61200er2 |
Quadratic twists by: -4 8 -3 5 |