Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200i |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2052000000 = 28 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,-1750] |
[a1,a2,a3,a4,a6] |
j |
54000/19 |
j-invariant |
L |
2.23262037601 |
L(r)(E,1)/r! |
Ω |
1.1163101880055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400a1 34200ca1 1368e1 |
Quadratic twists by: -4 -3 5 |