Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20812i |
Isogeny class |
Conductor |
20812 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16200 |
Modular degree for the optimal curve |
Δ |
-19501343488 = -1 · 28 · 116 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 4 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1613,-26369] |
[a1,a2,a3,a4,a6] |
Generators |
[891242:11712691:4913] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
4.1291748048661 |
L(r)(E,1)/r! |
Ω |
0.37572690012945 |
Real period |
R |
10.989830122473 |
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 |
83248bn1 172a1 |
Quadratic twists by: -4 -11 |