Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73568a |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-435824187622912 = -1 · 29 · 119 · 192 |
Discriminant |
Eigenvalues |
2+ 2 2 2 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5768,-992088] |
[a1,a2,a3,a4,a6] |
Generators |
[85313595268159228012925872605:-1180197877993045073474031938996:450080641979776898590240125] |
Generators of the group modulo torsion |
j |
17576/361 |
j-invariant |
L |
11.949040828996 |
L(r)(E,1)/r! |
Ω |
0.25711750533808 |
Real period |
R |
46.473073906302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73568b2 73568n2 |
Quadratic twists by: -4 -11 |