Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638n |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-963144 = -1 · 23 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,29] |
[a1,a2,a3,a4,a6] |
j |
29503629/35672 |
j-invariant |
L |
3.7278834478098 |
L(r)(E,1)/r! |
Ω |
1.8639417239049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13104bh1 52416w1 1638d2 40950c1 |
Quadratic twists by: -4 8 -3 5 |