Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944v |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1366542296064 = 210 · 38 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4251,90650] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:432:1] |
Generators of the group modulo torsion |
j |
11380714852/1830609 |
j-invariant |
L |
6.1238923411287 |
L(r)(E,1)/r! |
Ω |
0.81815126944084 |
Real period |
R |
1.8712591943441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998478 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32472f2 21648c2 |
Quadratic twists by: -4 -3 |