Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
71200p |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
55625000000 = 26 · 510 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1158,-9688] |
[a1,a2,a3,a4,a6] |
Generators |
[2026:31875:8] |
Generators of the group modulo torsion |
j |
171879616/55625 |
j-invariant |
L |
6.3302041993811 |
L(r)(E,1)/r! |
Ω |
0.83939626394779 |
Real period |
R |
3.7706888094872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71200r1 14240g1 |
Quadratic twists by: -4 5 |