Atkin-Lehner |
2+ 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008b |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7265777531904 = 210 · 34 · 31 · 414 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5704,-105244] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:42:1] |
Generators of the group modulo torsion |
j |
20046494647588/7095485871 |
j-invariant |
L |
3.2524440129359 |
L(r)(E,1)/r! |
Ω |
0.56538948107841 |
Real period |
R |
2.8762862786106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998239 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30504a3 |
Quadratic twists by: -4 |