Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dz |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53625600000000 = 214 · 32 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17361,-801135] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:252:1] |
Generators of the group modulo torsion |
j |
35322627332176/3273046875 |
j-invariant |
L |
3.8049339983827 |
L(r)(E,1)/r! |
Ω |
0.41838289095129 |
Real period |
R |
2.2735956198258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999087373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ck2 31920cf2 |
Quadratic twists by: -4 8 |