Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
608a |
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 |
[4:4:1] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
1.9841616741452 |
L(r)(E,1)/r! |
Ω |
1.3513123906549 |
Real period |
R |
0.73416098596694 |
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 |
608d1 1216e1 5472s1 15200j1 |
Quadratic twists by: -4 8 -3 5 |