Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320k |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1009081145600 = 28 · 52 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11423,467422] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:968:1] |
Generators of the group modulo torsion |
j |
643908676593744/3941723225 |
j-invariant |
L |
5.6930120563696 |
L(r)(E,1)/r! |
Ω |
0.88223491816055 |
Real period |
R |
1.0754905784442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160j2 |
Quadratic twists by: -4 |