Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1911f |
Isogeny class |
Conductor |
1911 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-4588311 = -1 · 3 · 76 · 13 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23,95] |
[a1,a2,a3,a4,a6] |
Generators |
[111:371:27] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
3.8249482326047 |
L(r)(E,1)/r! |
Ω |
1.7284985358133 |
Real period |
R |
4.4257465694697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576bs1 122304bz1 5733g1 47775u1 |
Quadratic twists by: -4 8 -3 5 |