Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950ch |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-145222609218750000 = -1 · 24 · 38 · 510 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,74187,16609617] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-4761:1] |
Generators of the group modulo torsion |
j |
2889926171750519/9294246990000 |
j-invariant |
L |
12.625457863766 |
L(r)(E,1)/r! |
Ω |
0.23051515035835 |
Real period |
R |
0.42789547414782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390e4 |
Quadratic twists by: 5 |