Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148by |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-1.015054973928E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81030,484679061] |
[a1,a2,a3,a4,a6] |
Generators |
[33210:2152227:8] |
Generators of the group modulo torsion |
j |
17643776/30438639 |
j-invariant |
L |
9.0744982806204 |
L(r)(E,1)/r! |
Ω |
0.14806684182473 |
Real period |
R |
1.2768020522535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164k1 6468o1 |
Quadratic twists by: -7 -11 |