Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82140k |
Isogeny class |
Conductor |
82140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24313440000 = 28 · 3 · 54 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-900,-7500] |
[a1,a2,a3,a4,a6] |
Generators |
[1101:4292:27] |
Generators of the group modulo torsion |
j |
6224272/1875 |
j-invariant |
L |
7.9176004913512 |
L(r)(E,1)/r! |
Ω |
0.89189151145898 |
Real period |
R |
4.4386567128451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82140h2 |
Quadratic twists by: 37 |