Atkin-Lehner |
2- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14384g |
Isogeny class |
Conductor |
14384 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18960 |
Modular degree for the optimal curve |
Δ |
-162776478464 = -1 · 28 · 295 · 31 |
Discriminant |
Eigenvalues |
2- -3 2 1 1 2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-424,-19700] |
[a1,a2,a3,a4,a6] |
Generators |
[50:290:1] |
Generators of the group modulo torsion |
j |
-32929210368/635845619 |
j-invariant |
L |
3.7399773927672 |
L(r)(E,1)/r! |
Ω |
0.44025237765933 |
Real period |
R |
0.84950759667702 |
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 |
3596b1 57536q1 129456bh1 |
Quadratic twists by: -4 8 -3 |