Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ch |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
237634434537357312 = 224 · 33 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168315,12503722] |
[a1,a2,a3,a4,a6] |
Generators |
[4173:268288:1] |
Generators of the group modulo torsion |
j |
40530337875/18264064 |
j-invariant |
L |
5.512420750658 |
L(r)(E,1)/r! |
Ω |
0.28095301486133 |
Real period |
R |
4.9051090800154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466bj1 91728cg3 13104bf1 |
Quadratic twists by: -4 -3 -7 |