Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850q |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-250090503062500 = -1 · 22 · 56 · 172 · 614 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32413,-2384969] |
[a1,a2,a3,a4,a6] |
Generators |
[24340:394973:64] |
Generators of the group modulo torsion |
j |
-241025066403337/16005792196 |
j-invariant |
L |
12.096372493732 |
L(r)(E,1)/r! |
Ω |
0.17722611908194 |
Real period |
R |
4.2658682860607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2074a2 |
Quadratic twists by: 5 |