Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080bo |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-566423553430606080 = -1 · 28 · 3 · 5 · 1112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-339460,84412012] |
[a1,a2,a3,a4,a6] |
j |
-16898604699344005456/2212592005588305 |
j-invariant |
L |
3.3867242973308 |
L(r)(E,1)/r! |
Ω |
0.28222697331377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31020l2 |
Quadratic twists by: -4 |