Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160bi |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10292832000 = 28 · 34 · 53 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7276,241276] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:646:1] |
Generators of the group modulo torsion |
j |
166426126492624/40206375 |
j-invariant |
L |
3.8335352221398 |
L(r)(E,1)/r! |
Ω |
1.2534722294778 |
Real period |
R |
3.0583327910868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540j2 |
Quadratic twists by: -4 |