Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048a |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
17019072 = 26 · 34 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-66] |
[a1,a2,a3,a4,a6] |
Generators |
[35:198:1] |
Generators of the group modulo torsion |
j |
551368000/265923 |
j-invariant |
L |
4.4623420630802 |
L(r)(E,1)/r! |
Ω |
1.7423809801816 |
Real period |
R |
2.5610599020699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048y1 45024c2 |
Quadratic twists by: -4 8 |