Atkin-Lehner |
2+ 3- 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882v |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11118506743512 = -1 · 23 · 312 · 72 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5418,-48020] |
[a1,a2,a3,a4,a6] |
Generators |
[29:350:1] |
Generators of the group modulo torsion |
j |
24125043017375/15251723928 |
j-invariant |
L |
2.8516728906305 |
L(r)(E,1)/r! |
Ω |
0.41277311127994 |
Real period |
R |
1.7271431441325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996272814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294s2 |
Quadratic twists by: -3 |