Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50616g |
Isogeny class |
Conductor |
50616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82513920 |
Modular degree for the optimal curve |
Δ |
-1.1186864377754E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 5 -5 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6555733716,204306139713652] |
[a1,a2,a3,a4,a6] |
Generators |
[1876187142875988670:423525331424600374653:66086267507000] |
Generators of the group modulo torsion |
j |
-166962959078001445737309395968/599433319281236638491 |
j-invariant |
L |
8.9243459516934 |
L(r)(E,1)/r! |
Ω |
0.051924635820749 |
Real period |
R |
21.483891534891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232h1 16872a1 |
Quadratic twists by: -4 -3 |