Atkin-Lehner |
2- 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
20856a |
Isogeny class |
Conductor |
20856 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
11360 |
Modular degree for the optimal curve |
Δ |
-78170290176 = -1 · 211 · 3 · 115 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,960,7392] |
[a1,a2,a3,a4,a6] |
j |
47725994878/38169087 |
j-invariant |
L |
3.497978328486 |
L(r)(E,1)/r! |
Ω |
0.6995956656972 |
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 |
41712a1 62568b1 |
Quadratic twists by: -4 -3 |