Atkin-Lehner |
2+ 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862l |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-242670551844096 = -1 · 28 · 316 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 5 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2484,-750384] |
[a1,a2,a3,a4,a6] |
j |
-2325676477249/332881415424 |
j-invariant |
L |
1.9756122588507 |
L(r)(E,1)/r! |
Ω |
0.24695153235634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6954n1 |
Quadratic twists by: -3 |