Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200v |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
754515000000000 = 29 · 38 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23008,232988] |
[a1,a2,a3,a4,a6] |
j |
168379496648/94314375 |
j-invariant |
L |
3.49552077093 |
L(r)(E,1)/r! |
Ω |
0.43694009653034 |
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 |
55200bq3 110400a3 11040j2 |
Quadratic twists by: -4 8 5 |