Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892bc |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4273920 |
Modular degree for the optimal curve |
Δ |
1.0213853877115E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7449045,7807660167] |
[a1,a2,a3,a4,a6] |
Generators |
[11201678:6191493:6859] |
Generators of the group modulo torsion |
j |
4424897740668928/9887063307 |
j-invariant |
L |
9.0567482541877 |
L(r)(E,1)/r! |
Ω |
0.18924554055598 |
Real period |
R |
7.9761881551943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892r1 |
Quadratic twists by: -7 |