Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428be |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45731611950336 = -1 · 28 · 314 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7449,-211250] |
[a1,a2,a3,a4,a6] |
j |
111485936/111537 |
j-invariant |
L |
2.7790053075071 |
L(r)(E,1)/r! |
Ω |
0.34737565872944 |
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 |
34476s2 103428bb2 |
Quadratic twists by: -3 13 |