Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950x |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-99700927734375000 = -1 · 23 · 33 · 518 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265355,54828147] |
[a1,a2,a3,a4,a6] |
j |
-4898016158612283/236328125000 |
j-invariant |
L |
3.995686815068 |
L(r)(E,1)/r! |
Ω |
0.33297390125566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600ci2 4950d4 990b2 54450o2 |
Quadratic twists by: -4 -3 5 -11 |