Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632j |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-735720381612032 = -1 · 230 · 23 · 313 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 0 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33953,-2727647] |
[a1,a2,a3,a4,a6] |
Generators |
[249:2048:1] |
Generators of the group modulo torsion |
j |
-16513192419625/2806550528 |
j-invariant |
L |
3.600498675985 |
L(r)(E,1)/r! |
Ω |
0.17423358722251 |
Real period |
R |
1.7220649652819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632n2 1426c2 |
Quadratic twists by: -4 8 |