Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400k |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-94218750000 = -1 · 24 · 32 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2083,40162] |
[a1,a2,a3,a4,a6] |
j |
-6400000/603 |
j-invariant |
L |
2.0888448725079 |
L(r)(E,1)/r! |
Ω |
1.0444224121843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bh1 80400bm1 |
Quadratic twists by: -4 5 |