Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425j |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-10520761825 = -1 · 52 · 78 · 73 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -3 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3946,-95847] |
[a1,a2,a3,a4,a6] |
Generators |
[81:302:1] [113:894:1] |
Generators of the group modulo torsion |
j |
-2309449585/3577 |
j-invariant |
L |
8.2940365073267 |
L(r)(E,1)/r! |
Ω |
0.30116406730483 |
Real period |
R |
6.8849818153897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425bg1 12775g1 |
Quadratic twists by: 5 -7 |