Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944l |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-17931768008951808 = -1 · 211 · 316 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328395,-72720038] |
[a1,a2,a3,a4,a6] |
Generators |
[1113:30668:1] |
Generators of the group modulo torsion |
j |
-2623347602239250/12010625649 |
j-invariant |
L |
4.7955115759199 |
L(r)(E,1)/r! |
Ω |
0.09968997059226 |
Real period |
R |
3.0065158182387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472q2 21648j2 |
Quadratic twists by: -4 -3 |