Atkin-Lehner |
2+ 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950u |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-86422271118750000 = -1 · 24 · 314 · 58 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,85999,-10279852] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-4154:1] [132:1771:1] |
Generators of the group modulo torsion |
j |
4501851336380159/5531025351600 |
j-invariant |
L |
8.2728060712574 |
L(r)(E,1)/r! |
Ω |
0.18250816029554 |
Real period |
R |
0.80943602524238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390r2 |
Quadratic twists by: 5 |