Atkin-Lehner |
2+ 3- 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882w |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31580852655744 = 27 · 36 · 72 · 194 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-325158,71446580] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-599:1] |
Generators of the group modulo torsion |
j |
5215311654415003233/43320785536 |
j-invariant |
L |
4.8964963910476 |
L(r)(E,1)/r! |
Ω |
0.59204473029636 |
Real period |
R |
1.0338104945356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998932472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14098f2 |
Quadratic twists by: -3 |