Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4160p |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11698585600 = -1 · 214 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1105,-14703] |
[a1,a2,a3,a4,a6] |
j |
-9115564624/714025 |
j-invariant |
L |
3.2971552228688 |
L(r)(E,1)/r! |
Ω |
0.4121444028586 |
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 |
4160h2 1040d2 37440el2 20800cp2 |
Quadratic twists by: -4 8 -3 5 |