Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
32648c |
Isogeny class |
Conductor |
32648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
643557376 = 211 · 72 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273619,-55089330] |
[a1,a2,a3,a4,a6] |
Generators |
[336887257350867262:-67271439179953473315:8447286387896] |
Generators of the group modulo torsion |
j |
1106197095547925586/314237 |
j-invariant |
L |
6.35508080536 |
L(r)(E,1)/r! |
Ω |
0.20874351482683 |
Real period |
R |
30.444446672426 |
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 |
65296e2 |
Quadratic twists by: -4 |