Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850ba |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3721614869911500000 = 25 · 38 · 56 · 176 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-407801,37810748] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:11086:1] |
Generators of the group modulo torsion |
j |
480006385101608833/238183351674336 |
j-invariant |
L |
4.9244219017893 |
L(r)(E,1)/r! |
Ω |
0.22065148464129 |
Real period |
R |
0.46495097471559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794d2 |
Quadratic twists by: 5 |