Atkin-Lehner |
2+ 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50592a |
Isogeny class |
Conductor |
50592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
24114980352 = 29 · 3 · 17 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-864,6600] |
[a1,a2,a3,a4,a6] |
Generators |
[41:196:1] |
Generators of the group modulo torsion |
j |
139475374856/47099571 |
j-invariant |
L |
2.1340301627453 |
L(r)(E,1)/r! |
Ω |
1.102584330945 |
Real period |
R |
3.8709604387084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50592f3 101184m3 |
Quadratic twists by: -4 8 |