Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
103428p |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2283857386267392 = -1 · 28 · 37 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17160,-2130284] |
[a1,a2,a3,a4,a6] |
j |
17718272000/72412707 |
j-invariant |
L |
2.8018869965024 |
L(r)(E,1)/r! |
Ω |
0.23349060839666 |
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 |
34476i2 103428q2 |
Quadratic twists by: -3 13 |