Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200bb |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-865687500000000 = -1 · 28 · 36 · 512 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13425,-1282750] |
[a1,a2,a3,a4,a6] |
Generators |
[431:9196:1] |
Generators of the group modulo torsion |
j |
91765424/296875 |
j-invariant |
L |
5.6503212929066 |
L(r)(E,1)/r! |
Ω |
0.25530358200039 |
Real period |
R |
5.5329436123013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400bg2 3800h2 6840s2 |
Quadratic twists by: -4 -3 5 |