Atkin-Lehner |
3- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
5727i |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
12524949 = 38 · 23 · 83 |
Discriminant |
Eigenvalues |
-2 3- -3 -4 0 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-62,62] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] [-2:13:1] |
Generators of the group modulo torsion |
j |
26784575488/12524949 |
j-invariant |
L |
2.6356836951834 |
L(r)(E,1)/r! |
Ω |
2.0102786807772 |
Real period |
R |
0.16388795496284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632j1 17181c1 |
Quadratic twists by: -4 -3 |