Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524a |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
107386342373336832 = 28 · 36 · 132 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47307588,-125224595496] |
[a1,a2,a3,a4,a6] |
Generators |
[-285431901007711334641097169278623600:1395726925662993053536840441831777:71888438534188467125857551486976] |
Generators of the group modulo torsion |
j |
308964909568786000/2833623 |
j-invariant |
L |
5.7778216156394 |
L(r)(E,1)/r! |
Ω |
0.057566105951153 |
Real period |
R |
50.184231853768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588a2 |
Quadratic twists by: -23 |