Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920s |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
52200000 = 26 · 32 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30206,-2010600] |
[a1,a2,a3,a4,a6] |
Generators |
[147794:56817672:1] |
Generators of the group modulo torsion |
j |
47625305001386176/815625 |
j-invariant |
L |
3.9865583611264 |
L(r)(E,1)/r! |
Ω |
0.36213879525615 |
Real period |
R |
11.008371412697 |
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 |
13920ba1 27840dx1 41760l1 69600t1 |
Quadratic twists by: -4 8 -3 5 |