Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208g |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
100803833856 = 212 · 38 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1884,27520] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:220:1] |
Generators of the group modulo torsion |
j |
247673152/33759 |
j-invariant |
L |
8.4270913745645 |
L(r)(E,1)/r! |
Ω |
1.0228143189216 |
Real period |
R |
2.0597803563895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208j2 32736n2 |
Quadratic twists by: -4 -3 |