Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bb |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31912704000000 = 214 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57243,5264458] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:2250:1] |
Generators of the group modulo torsion |
j |
6947097508441/10687500 |
j-invariant |
L |
4.6257597645157 |
L(r)(E,1)/r! |
Ω |
0.65751038683252 |
Real period |
R |
1.7588162320902 |
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 |
1710p2 54720ex2 4560bb2 68400el2 |
Quadratic twists by: -4 8 -3 5 |