Atkin-Lehner |
2- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
410b |
Isogeny class |
Conductor |
410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4303360000 = 212 · 54 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21867,-1239109] |
[a1,a2,a3,a4,a6] |
j |
1156305808919628801/4303360000 |
j-invariant |
L |
2.3556195631731 |
L(r)(E,1)/r! |
Ω |
0.39260326052884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3280n2 13120k2 3690f2 2050a2 |
Quadratic twists by: -4 8 -3 5 |