Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21252c |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2408786688 = 28 · 3 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-868,-9272] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:14:1] |
Generators of the group modulo torsion |
j |
282841522000/9409323 |
j-invariant |
L |
4.5472750176973 |
L(r)(E,1)/r! |
Ω |
0.88127947399813 |
Real period |
R |
0.85997596900552 |
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 |
85008cc2 63756bf2 |
Quadratic twists by: -4 -3 |