Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fi |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
258492902400000000 = 216 · 312 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5826675,5413459250] |
[a1,a2,a3,a4,a6] |
j |
468898230633769/5540400 |
j-invariant |
L |
2.2584400316469 |
L(r)(E,1)/r! |
Ω |
0.2823050055487 |
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 |
8550f2 22800ce2 13680bw2 |
Quadratic twists by: -4 -3 5 |