Atkin-Lehner |
2+ 5- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150f |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-115379675000000 = -1 · 26 · 58 · 31 · 533 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95326,-11347952] |
[a1,a2,a3,a4,a6] |
Generators |
[636967971255:-7199150786521:1540798875] |
Generators of the group modulo torsion |
j |
-245239960725625/295371968 |
j-invariant |
L |
5.2834954049601 |
L(r)(E,1)/r! |
Ω |
0.13584257389369 |
Real period |
R |
19.447126381361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82150l2 |
Quadratic twists by: 5 |