Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424c |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-898017792 = -1 · 29 · 3 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128,1288] |
[a1,a2,a3,a4,a6] |
j |
449455096/1753941 |
j-invariant |
L |
2.2451922446614 |
L(r)(E,1)/r! |
Ω |
1.1225961223307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11424r4 22848bh3 34272bm2 79968bd2 |
Quadratic twists by: -4 8 -3 -7 |