Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360eh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
85593231360 = 212 · 38 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568601,-164839335] |
[a1,a2,a3,a4,a6] |
Generators |
[-169222687:-79056:389017] |
Generators of the group modulo torsion |
j |
4963492676237558464/20896785 |
j-invariant |
L |
5.1160838314589 |
L(r)(E,1)/r! |
Ω |
0.17385916374269 |
Real period |
R |
7.3566496668473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gj1 43680cb1 |
Quadratic twists by: -4 8 |