Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50568q |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20560693128192 = 210 · 34 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43920,3550716] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:1372:1] [-135:2646:1] |
Generators of the group modulo torsion |
j |
77773635076/170667 |
j-invariant |
L |
6.2126389815504 |
L(r)(E,1)/r! |
Ω |
0.68389130877819 |
Real period |
R |
2.2710622659654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136p2 7224i2 |
Quadratic twists by: -4 -7 |