Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826bf |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-15394704156 = -1 · 22 · 39 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 3 3 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527,-7437] |
[a1,a2,a3,a4,a6] |
j |
-22164361129/21117564 |
j-invariant |
L |
5.7552697710671 |
L(r)(E,1)/r! |
Ω |
0.47960581425559 |
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 |
6942a1 |
Quadratic twists by: -3 |