Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656j |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
44109824 = 212 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 11- 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489,-3991] |
[a1,a2,a3,a4,a6] |
Generators |
[2883:28952:27] |
Generators of the group modulo torsion |
j |
3163575232/10769 |
j-invariant |
L |
9.6237372945948 |
L(r)(E,1)/r! |
Ω |
1.0152833125866 |
Real period |
R |
4.7394343898855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656e2 31328c1 |
Quadratic twists by: -4 8 |