Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
26712p |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-71245391616 = -1 · 28 · 37 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,12850] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:90:1] |
Generators of the group modulo torsion |
j |
-810448/381759 |
j-invariant |
L |
5.1863742796909 |
L(r)(E,1)/r! |
Ω |
0.88728773154424 |
Real period |
R |
1.4613000088101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53424g1 8904c1 |
Quadratic twists by: -4 -3 |