Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202u |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8108325698322564 = 22 · 38 · 112 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-909581,334094321] |
[a1,a2,a3,a4,a6] |
Generators |
[4446:-1381:8] |
Generators of the group modulo torsion |
j |
114161555058421089673/11122531822116 |
j-invariant |
L |
8.056959303702 |
L(r)(E,1)/r! |
Ω |
0.39721460723051 |
Real period |
R |
5.0709107601046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19734j2 |
Quadratic twists by: -3 |