Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162u |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
681286837213832256 = 26 · 310 · 118 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306576,51959232] |
[a1,a2,a3,a4,a6] |
Generators |
[-1242:78921:8] |
Generators of the group modulo torsion |
j |
2467489596697/527529024 |
j-invariant |
L |
5.5395013064572 |
L(r)(E,1)/r! |
Ω |
0.27089448071501 |
Real period |
R |
5.1122316078616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999334 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21054bg2 5742v2 |
Quadratic twists by: -3 -11 |