Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680q |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
3324240 = 24 · 37 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-858,-9673] |
[a1,a2,a3,a4,a6] |
Generators |
[47:232:1] |
Generators of the group modulo torsion |
j |
5988775936/285 |
j-invariant |
L |
3.6674227602288 |
L(r)(E,1)/r! |
Ω |
0.8821226486627 |
Real period |
R |
4.1574975608988 |
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 |
6840f1 54720eo1 4560f1 68400cf1 |
Quadratic twists by: -4 8 -3 5 |