Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280m |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-312218438220000000 = -1 · 28 · 39 · 57 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 5 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-466265,-125304363] |
[a1,a2,a3,a4,a6] |
j |
-43790825066269797376/1219603274296875 |
j-invariant |
L |
3.8304280560608 |
L(r)(E,1)/r! |
Ω |
0.091200668015987 |
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 |
29640m1 |
Quadratic twists by: -4 |