Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4389h |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-8925676683 = -1 · 3 · 76 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2773,-57323] |
[a1,a2,a3,a4,a6] |
j |
-2359010787328000/8925676683 |
j-invariant |
L |
1.9732037567381 |
L(r)(E,1)/r! |
Ω |
0.32886729278969 |
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 |
70224bk2 13167m2 109725e2 30723c2 |
Quadratic twists by: -4 -3 5 -7 |