Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800cp |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
93057444864000 = 213 · 314 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12568,-276368] |
[a1,a2,a3,a4,a6] |
j |
428831641421/181752822 |
j-invariant |
L |
1.8734343178272 |
L(r)(E,1)/r! |
Ω |
0.46835857945681 |
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 |
2850n2 91200ip2 68400gg2 22800dp2 |
Quadratic twists by: -4 8 -3 5 |