Atkin-Lehner |
2+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200k |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55873020500000000 = 28 · 59 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120708,11415088] |
[a1,a2,a3,a4,a6] |
Generators |
[408:5500:1] |
Generators of the group modulo torsion |
j |
389014212368/111746041 |
j-invariant |
L |
2.4585164108112 |
L(r)(E,1)/r! |
Ω |
0.32851752870547 |
Real period |
R |
1.8709172240272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68200x2 |
Quadratic twists by: 5 |