Atkin-Lehner |
2- 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590m |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
-276488770118400000 = -1 · 211 · 313 · 55 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 0 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35501,25414499] |
[a1,a2,a3,a4,a6] |
j |
-4948188507826029649/276488770118400000 |
j-invariant |
L |
2.8142482147526 |
L(r)(E,1)/r! |
Ω |
0.25584074679569 |
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 |
49770v1 82950x1 116130dl1 |
Quadratic twists by: -3 5 -7 |