Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20700c |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
44209863281250000 = 24 · 39 · 514 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145800,-18889875] |
[a1,a2,a3,a4,a6] |
Generators |
[-3869905:12189700:24389] |
Generators of the group modulo torsion |
j |
69657034752/8984375 |
j-invariant |
L |
5.2880704241436 |
L(r)(E,1)/r! |
Ω |
0.24639677714893 |
Real period |
R |
10.730802742901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800ck1 20700a1 4140b1 |
Quadratic twists by: -4 -3 5 |