Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220k |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1453315500000000 = -1 · 28 · 33 · 59 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23035,-1254063] |
[a1,a2,a3,a4,a6] |
j |
107754015358976/115857421875 |
j-invariant |
L |
2.330490687636 |
L(r)(E,1)/r! |
Ω |
0.25894340973345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660t2 38220r2 |
Quadratic twists by: -3 -7 |