Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7319455799040 = 28 · 39 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4863,-9718] |
[a1,a2,a3,a4,a6] |
Generators |
[82:378:1] |
Generators of the group modulo torsion |
j |
68150496976/39220335 |
j-invariant |
L |
6.6617357978732 |
L(r)(E,1)/r! |
Ω |
0.62204339988403 |
Real period |
R |
1.3386798652476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860i2 18480cg2 |
Quadratic twists by: -4 -3 |