Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680cu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
392339189760000 = 215 · 3 · 54 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18305,-29025] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:840:1] |
Generators of the group modulo torsion |
j |
20701732955912/11973241875 |
j-invariant |
L |
9.3359984597027 |
L(r)(E,1)/r! |
Ω |
0.44943329043907 |
Real period |
R |
1.2983014826245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999385361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bs3 63840bg3 |
Quadratic twists by: -4 8 |