Atkin-Lehner |
2- 3+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
80592r |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16052048928768 = 213 · 3 · 23 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13552,-571328] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:10:1] [213:2482:1] |
Generators of the group modulo torsion |
j |
67205681473393/3918957258 |
j-invariant |
L |
10.048880532737 |
L(r)(E,1)/r! |
Ω |
0.44409405011293 |
Real period |
R |
5.6569551711827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074r4 |
Quadratic twists by: -4 |