Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360hb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
33022080000 = 210 · 34 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-530845,-149044525] |
[a1,a2,a3,a4,a6] |
Generators |
[875:7560:1] |
Generators of the group modulo torsion |
j |
16155773913566746624/32248125 |
j-invariant |
L |
9.0423266361632 |
L(r)(E,1)/r! |
Ω |
0.17687137570551 |
Real period |
R |
3.1952338930015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360u1 21840d1 |
Quadratic twists by: -4 8 |