Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384r |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33073920 |
Modular degree for the optimal curve |
Δ |
-19126283065344 = -1 · 211 · 36 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7112296803,230867564466814] |
[a1,a2,a3,a4,a6] |
Generators |
[334187618:83870514:6859] |
Generators of the group modulo torsion |
j |
-26649916161419259107916753602/12810707 |
j-invariant |
L |
6.5558566498912 |
L(r)(E,1)/r! |
Ω |
0.12843454916458 |
Real period |
R |
8.5073898376777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376k1 |
Quadratic twists by: -3 |