Atkin-Lehner |
3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50127r |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
6.627163747271E+22 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12224350,10825888301] |
[a1,a2,a3,a4,a6] |
Generators |
[649:55940:1] |
Generators of the group modulo torsion |
j |
1717167849316307276617/563299624074237039 |
j-invariant |
L |
9.6315088842331 |
L(r)(E,1)/r! |
Ω |
0.10155495718791 |
Real period |
R |
1.0537817979838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1023a2 |
Quadratic twists by: -7 |