Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080cf |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12536355225600 = 224 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201523212,1101122732016] |
[a1,a2,a3,a4,a6] |
Generators |
[2049476184:14293700:250047] |
Generators of the group modulo torsion |
j |
4736215902196909260801/65600 |
j-invariant |
L |
9.7120942196139 |
L(r)(E,1)/r! |
Ω |
0.24755616629203 |
Real period |
R |
9.8079703949632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080fr4 3690f3 13120k3 |
Quadratic twists by: -4 8 -3 |