Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048a |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1158377472 = -1 · 212 · 32 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,247,-759] |
[a1,a2,a3,a4,a6] |
Generators |
[5:24:1] |
Generators of the group modulo torsion |
j |
405224000/282807 |
j-invariant |
L |
4.4623420630802 |
L(r)(E,1)/r! |
Ω |
0.87119049009078 |
Real period |
R |
1.2805299510349 |
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 |
90048y2 45024c1 |
Quadratic twists by: -4 8 |