Atkin-Lehner |
2- 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178m |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
7712151699456 = 220 · 38 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4964,17543] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:349:1] |
Generators of the group modulo torsion |
j |
18552800685817/10579083264 |
j-invariant |
L |
9.0817398554138 |
L(r)(E,1)/r! |
Ω |
0.63544666160748 |
Real period |
R |
1.4291899547383 |
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 |
6726c1 |
Quadratic twists by: -3 |