Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4899d |
Isogeny class |
Conductor |
4899 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24000201 = 32 · 232 · 712 |
Discriminant |
Eigenvalues |
-1 3- 2 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-82,155] |
[a1,a2,a3,a4,a6] |
Generators |
[70:55:8] |
Generators of the group modulo torsion |
j |
61023377953/24000201 |
j-invariant |
L |
3.1503664152233 |
L(r)(E,1)/r! |
Ω |
1.9382582128137 |
Real period |
R |
3.2507190160696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78384n2 14697a2 122475a2 112677f2 |
Quadratic twists by: -4 -3 5 -23 |