Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384u |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
4384742544 = 24 · 311 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -2 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,14051] |
[a1,a2,a3,a4,a6] |
Generators |
[7:81:1] |
Generators of the group modulo torsion |
j |
13285149952/375921 |
j-invariant |
L |
4.8771119947366 |
L(r)(E,1)/r! |
Ω |
1.3754185916529 |
Real period |
R |
0.44323888715337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998918666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128s1 |
Quadratic twists by: -3 |