Atkin-Lehner |
2+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5434f |
Isogeny class |
Conductor |
5434 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
17925788401664 = 222 · 113 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9401,281765] |
[a1,a2,a3,a4,a6] |
j |
91900537277083417/17925788401664 |
j-invariant |
L |
1.9650509399747 |
L(r)(E,1)/r! |
Ω |
0.65501697999157 |
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 |
43472l1 48906bd1 59774ba1 70642k1 |
Quadratic twists by: -4 -3 -11 13 |