Atkin-Lehner |
5+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13685a |
Isogeny class |
Conductor |
13685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
184209601452734375 = 58 · 73 · 173 · 234 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8994403,-10380342388] |
[a1,a2,a3,a4,a6] |
j |
80471240161095912328124289/184209601452734375 |
j-invariant |
L |
0.17435585188701 |
L(r)(E,1)/r! |
Ω |
0.087177925943503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165o4 68425f4 95795v4 |
Quadratic twists by: -3 5 -7 |