Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
532a |
Isogeny class |
Conductor |
532 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30 |
Modular degree for the optimal curve |
Δ |
-14896 = -1 · 24 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,5] |
[a1,a2,a3,a4,a6] |
j |
442368/931 |
j-invariant |
L |
1.3655766059918 |
L(r)(E,1)/r! |
Ω |
2.7311532119836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2128a1 8512b1 4788f1 13300d1 |
Quadratic twists by: -4 8 -3 5 |