Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378m |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7498459194624 = 28 · 38 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 3- -3 0 2 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5189,59069] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:436:1] |
Generators of the group modulo torsion |
j |
21191843070217/10285952256 |
j-invariant |
L |
7.0015162277139 |
L(r)(E,1)/r! |
Ω |
0.66026867189225 |
Real period |
R |
0.22091752588033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12126e1 |
Quadratic twists by: -3 |