Atkin-Lehner |
5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8075b |
Isogeny class |
Conductor |
8075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-8075 = -1 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
1 -1 5+ 4 -6 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85,-340] |
[a1,a2,a3,a4,a6] |
j |
-2766938305/323 |
j-invariant |
L |
0.78496182521909 |
L(r)(E,1)/r! |
Ω |
0.78496182521909 |
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 |
129200bk1 72675bg1 8075h1 |
Quadratic twists by: -4 -3 5 |