Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1824f |
Isogeny class |
Conductor |
1824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
700416 = 212 · 32 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 6 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,-335] |
[a1,a2,a3,a4,a6] |
j |
24897088/171 |
j-invariant |
L |
1.5205962317365 |
L(r)(E,1)/r! |
Ω |
1.5205962317365 |
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 |
1824k2 3648bi1 5472g2 45600q2 |
Quadratic twists by: -4 8 -3 5 |