Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21672c |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
22020139008 = 211 · 36 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5663619,-5187870882] |
[a1,a2,a3,a4,a6] |
Generators |
[20394426815330750:-2362663305362367496:1471818359375] |
Generators of the group modulo torsion |
j |
13457002144177215234/14749 |
j-invariant |
L |
5.5409834614907 |
L(r)(E,1)/r! |
Ω |
0.097864695051572 |
Real period |
R |
28.309409530019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344j4 2408c4 |
Quadratic twists by: -4 -3 |