Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080cf |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
822384902799360000 = 230 · 36 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12595212,17205010416] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:53865:1] |
Generators of the group modulo torsion |
j |
1156305808919628801/4303360000 |
j-invariant |
L |
9.7120942196139 |
L(r)(E,1)/r! |
Ω |
0.24755616629203 |
Real period |
R |
4.9039851974816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019854 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118080fr2 3690f2 13120k2 |
Quadratic twists by: -4 8 -3 |