Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680x |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11529968025600 = 217 · 33 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6387,-109134] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:160:1] |
Generators of the group modulo torsion |
j |
260549802603/104256800 |
j-invariant |
L |
5.586740342009 |
L(r)(E,1)/r! |
Ω |
0.55284500058278 |
Real period |
R |
1.263179629037 |
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 |
1710b2 54720cx2 13680v2 68400dh2 |
Quadratic twists by: -4 8 -3 5 |