Atkin-Lehner |
2- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20336b |
Isogeny class |
Conductor |
20336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
213446656 = 212 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 -2 4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2659,52770] |
[a1,a2,a3,a4,a6] |
Generators |
[55:270:1] |
Generators of the group modulo torsion |
j |
507596683833/52111 |
j-invariant |
L |
5.1331562966377 |
L(r)(E,1)/r! |
Ω |
1.7027305483074 |
Real period |
R |
3.0146615398075 |
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 |
1271a2 81344h2 |
Quadratic twists by: -4 8 |