Atkin-Lehner |
2+ 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34362b |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53300495895552 = 210 · 33 · 234 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19128,-950976] |
[a1,a2,a3,a4,a6] |
Generators |
[336:5352:1] |
Generators of the group modulo torsion |
j |
28666944695850651/1974092440576 |
j-invariant |
L |
4.5454264528893 |
L(r)(E,1)/r! |
Ω |
0.40771744073763 |
Real period |
R |
1.3935589941486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34362f2 |
Quadratic twists by: -3 |