Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bn |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1206367395840 = 213 · 38 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8283,-285302] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:54:1] |
Generators of the group modulo torsion |
j |
21047437081/404010 |
j-invariant |
L |
5.5342471365118 |
L(r)(E,1)/r! |
Ω |
0.5010245570653 |
Real period |
R |
1.3807325056407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030v2 16080w2 |
Quadratic twists by: -4 -3 |