Atkin-Lehner |
5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4165m |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-3097769862359375 = -1 · 56 · 79 · 173 |
Discriminant |
Eigenvalues |
1 0 5- 7- -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20816,-2420685] |
[a1,a2,a3,a4,a6] |
j |
24718462497/76765625 |
j-invariant |
L |
2.0693852163693 |
L(r)(E,1)/r! |
Ω |
0.2299316907077 |
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 |
66640cj1 37485w1 20825h1 4165d1 |
Quadratic twists by: -4 -3 5 -7 |