Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17784t |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-39438118512 = -1 · 24 · 310 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,14627] |
[a1,a2,a3,a4,a6] |
Generators |
[1:117:1] |
Generators of the group modulo torsion |
j |
-7850060032/3381183 |
j-invariant |
L |
5.4529855431872 |
L(r)(E,1)/r! |
Ω |
1.0765058526333 |
Real period |
R |
0.42212075375224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568r1 5928d1 |
Quadratic twists by: -4 -3 |