Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944by |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3.6580586448977E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5479923,-3988919630] |
[a1,a2,a3,a4,a6] |
Generators |
[5615:377190:1] |
Generators of the group modulo torsion |
j |
6094802039817492721/1225076438754432 |
j-invariant |
L |
8.6895395430337 |
L(r)(E,1)/r! |
Ω |
0.10006363603517 |
Real period |
R |
4.3420066904285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118d2 21648bd2 |
Quadratic twists by: -4 -3 |