Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
46808798400 = 26 · 38 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148660,22111342] |
[a1,a2,a3,a4,a6] |
Generators |
[239:420:1] [547:10206:1] |
Generators of the group modulo torsion |
j |
5677132689344713024/731387475 |
j-invariant |
L |
10.254638339853 |
L(r)(E,1)/r! |
Ω |
0.88121540635206 |
Real period |
R |
3.878975282741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dd1 43680q4 |
Quadratic twists by: -4 8 |