Atkin-Lehner |
2+ 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350b |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
595864542350000000 = 27 · 58 · 7 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-114804001,473450816148] |
[a1,a2,a3,a4,a6] |
Generators |
[4522:214026:1] |
Generators of the group modulo torsion |
j |
10709637030942350035530241/38135330710400 |
j-invariant |
L |
2.1243905518373 |
L(r)(E,1)/r! |
Ω |
0.19350522952603 |
Real period |
R |
2.7446164685482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999670865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870o2 |
Quadratic twists by: 5 |