Atkin-Lehner |
2- 3+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710s |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
678831759360000 = 216 · 32 · 54 · 232 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-347405,78659075] |
[a1,a2,a3,a4,a6] |
Generators |
[-297:12628:1] |
Generators of the group modulo torsion |
j |
4636945424195872791121/678831759360000 |
j-invariant |
L |
8.2767336290541 |
L(r)(E,1)/r! |
Ω |
0.49252921020851 |
Real period |
R |
2.1005692295761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
122130r2 |
Quadratic twists by: -3 |