Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486p |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-50020289802 = -1 · 2 · 316 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -3 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3206,-70962] |
[a1,a2,a3,a4,a6] |
j |
-3644372262934369/50020289802 |
j-invariant |
L |
5.0715810838606 |
L(r)(E,1)/r! |
Ω |
0.31697381774128 |
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 |
27888ba1 111552j1 10458j1 87150r1 |
Quadratic twists by: -4 8 -3 5 |