Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gj |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
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 |
[439:-144:1] |
Generators of the group modulo torsion |
j |
4963492676237558464/20896785 |
j-invariant |
L |
7.6807657424843 |
L(r)(E,1)/r! |
Ω |
0.72478940967336 |
Real period |
R |
0.66232736355825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360eh1 43680bo1 |
Quadratic twists by: -4 8 |