Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150q |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
38663000000 = 26 · 56 · 23 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-196288,33456192] |
[a1,a2,a3,a4,a6] |
Generators |
[256:-120:1] [262:44:1] |
Generators of the group modulo torsion |
j |
53528500090850617/2474432 |
j-invariant |
L |
8.546880852856 |
L(r)(E,1)/r! |
Ω |
0.85906694969113 |
Real period |
R |
1.6581712783329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886a2 |
Quadratic twists by: 5 |