Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1824c |
Isogeny class |
Conductor |
1824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-600519168 = -1 · 29 · 32 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,1188] |
[a1,a2,a3,a4,a6] |
j |
-3112136/1172889 |
j-invariant |
L |
1.3231098750361 |
L(r)(E,1)/r! |
Ω |
1.3231098750361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1824i4 3648l4 5472v4 45600bw2 |
Quadratic twists by: -4 8 -3 5 |