Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950g |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.0433808016261E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1415025,-507252375] |
[a1,a2,a3,a4,a6] |
Generators |
[-18060:-311045:27] |
Generators of the group modulo torsion |
j |
20053791912530508049/4507763713040700 |
j-invariant |
L |
4.6357920267514 |
L(r)(E,1)/r! |
Ω |
0.14065034176277 |
Real period |
R |
4.1199615737481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390s4 |
Quadratic twists by: 5 |