Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748k |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-116484915456 = -1 · 28 · 36 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,580,-15324] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-1026:1] |
Generators of the group modulo torsion |
j |
84143142704/455019201 |
j-invariant |
L |
6.4767233037368 |
L(r)(E,1)/r! |
Ω |
0.52723669643819 |
Real period |
R |
0.22748667012337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992bz1 62244r1 |
Quadratic twists by: -4 -3 |