Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920i |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-44544000 = -1 · 212 · 3 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -5 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,357] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] |
Generators of the group modulo torsion |
j |
-2515456/10875 |
j-invariant |
L |
3.382245708436 |
L(r)(E,1)/r! |
Ω |
1.7620219284619 |
Real period |
R |
0.31992088688972 |
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 |
13920p1 27840dn1 41760x1 69600bu1 |
Quadratic twists by: -4 8 -3 5 |