Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
80592bj |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3229736452663836672 = -1 · 215 · 38 · 232 · 734 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,217248,-77110668] |
[a1,a2,a3,a4,a6] |
Generators |
[2607087:23494960:9261] |
Generators of the group modulo torsion |
j |
276840181990869407/788509876138632 |
j-invariant |
L |
11.405297016628 |
L(r)(E,1)/r! |
Ω |
0.12929331379177 |
Real period |
R |
11.026572723749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990113 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10074q4 |
Quadratic twists by: -4 |