Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bu |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11905316483309568 = -1 · 213 · 310 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132411,-19274006] |
[a1,a2,a3,a4,a6] |
Generators |
[719:16038:1] |
Generators of the group modulo torsion |
j |
-85982176079353/3987066402 |
j-invariant |
L |
4.28755071514 |
L(r)(E,1)/r! |
Ω |
0.12479989109773 |
Real period |
R |
2.1472127685932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118m2 21648bb2 |
Quadratic twists by: -4 -3 |