Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
608d |
Isogeny class |
Conductor |
608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-77824 = -1 · 212 · 19 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
1.9643514437015 |
L(r)(E,1)/r! |
Ω |
3.095839993788 |
Real period |
R |
0.31725661656338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
608a1 1216a1 5472l1 15200d1 |
Quadratic twists by: -4 8 -3 5 |