Atkin-Lehner |
2+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454d |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1167373664072 = 23 · 72 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4439,-100171] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:74:1] |
Generators of the group modulo torsion |
j |
5461074081/658952 |
j-invariant |
L |
3.3915559965415 |
L(r)(E,1)/r! |
Ω |
0.58950846175558 |
Real period |
R |
2.8765965345786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574h2 |
Quadratic twists by: -11 |