Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840g |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-211996491580800000 = -1 · 210 · 320 · 55 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125637,-14033338] |
[a1,a2,a3,a4,a6] |
Generators |
[20241161:438899616:103823] |
Generators of the group modulo torsion |
j |
293798043977756/283988784375 |
j-invariant |
L |
4.0343263547225 |
L(r)(E,1)/r! |
Ω |
0.17238895311848 |
Real period |
R |
11.701232247608 |
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 |
13680i1 54720br1 2280f1 34200cn1 |
Quadratic twists by: -4 8 -3 5 |