Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1098k |
Isogeny class |
Conductor |
1098 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14407956 = 22 · 310 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11714,490893] |
[a1,a2,a3,a4,a6] |
j |
243824355417817/19764 |
j-invariant |
L |
3.3941800250875 |
L(r)(E,1)/r! |
Ω |
1.6970900125438 |
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 |
8784x3 35136q4 366e3 27450w4 |
Quadratic twists by: -4 8 -3 5 |