Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4874212695402086400 = 218 · 312 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-582401,-134295201] |
[a1,a2,a3,a4,a6] |
Generators |
[-581:2880:1] |
Generators of the group modulo torsion |
j |
83339496416030401/18593645841225 |
j-invariant |
L |
7.7211673769959 |
L(r)(E,1)/r! |
Ω |
0.1755756118642 |
Real period |
R |
1.8323462127428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976835 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dy3 1365b3 |
Quadratic twists by: -4 8 |