Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760cp |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2823576000000000000 = 215 · 3 · 512 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355560,-11225292] |
[a1,a2,a3,a4,a6] |
Generators |
[-514:6000:1] |
Generators of the group modulo torsion |
j |
10316097499609/5859375000 |
j-invariant |
L |
5.7626802096424 |
L(r)(E,1)/r! |
Ω |
0.21115289289307 |
Real period |
R |
1.1371460372241 |
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 |
1470d7 47040ee8 35280dx8 58800fc8 |
Quadratic twists by: -4 8 -3 5 |