Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bh |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
11827200 |
Modular degree for the optimal curve |
Δ |
7.3136983753974E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12370179,-10541880169] |
[a1,a2,a3,a4,a6] |
Generators |
[10219:964467:1] |
Generators of the group modulo torsion |
j |
17947507904136033140992/6270317537206298121 |
j-invariant |
L |
4.7455227980454 |
L(r)(E,1)/r! |
Ω |
0.082808319581309 |
Real period |
R |
0.65121954201486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999034932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128u1 |
Quadratic twists by: -3 |