Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4035488808960 = 215 · 33 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40801,-3184321] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:33:1] [-115:12:1] |
Generators of the group modulo torsion |
j |
229243401374408/123153345 |
j-invariant |
L |
12.760840411131 |
L(r)(E,1)/r! |
Ω |
0.33592704462125 |
Real period |
R |
6.3311566301616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dt4 63840i4 |
Quadratic twists by: -4 8 |