Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bw |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1310400000000 = 212 · 32 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5201,-135201] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:72:1] |
Generators of the group modulo torsion |
j |
3799337068864/319921875 |
j-invariant |
L |
5.8901844014311 |
L(r)(E,1)/r! |
Ω |
0.56518727997504 |
Real period |
R |
2.6054126703326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680a3 87360x1 |
Quadratic twists by: -4 8 |