Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984bl |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-277606502498304 = -1 · 219 · 311 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 4 0 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16191,-123039] |
[a1,a2,a3,a4,a6] |
j |
1790515088207/1058984766 |
j-invariant |
L |
2.5748072650481 |
L(r)(E,1)/r! |
Ω |
0.32185090700445 |
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 |
81984bd1 20496v1 |
Quadratic twists by: -4 8 |