Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920bh |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
24523560000 = 26 · 36 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-730,728] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:90:1] |
Generators of the group modulo torsion |
j |
673142647744/383180625 |
j-invariant |
L |
5.597965325078 |
L(r)(E,1)/r! |
Ω |
1.0270400362579 |
Real period |
R |
0.9084302343712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13920h1 27840j2 41760b1 69600j1 |
Quadratic twists by: -4 8 -3 5 |