Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200q |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1251602884000000000 = -1 · 211 · 59 · 74 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14075,-53829750] |
[a1,a2,a3,a4,a6] |
Generators |
[561:10716:1] |
Generators of the group modulo torsion |
j |
-9636491538/39112590125 |
j-invariant |
L |
6.5271597197771 |
L(r)(E,1)/r! |
Ω |
0.12372240202653 |
Real period |
R |
3.2972806525472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999344 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26600t3 10640b4 |
Quadratic twists by: -4 5 |