Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160ck |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
296732160000 = 212 · 37 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122187,-16439366] |
[a1,a2,a3,a4,a6] |
Generators |
[423:2750:1] |
Generators of the group modulo torsion |
j |
67563360340489/99375 |
j-invariant |
L |
4.2234282019986 |
L(r)(E,1)/r! |
Ω |
0.2553543982146 |
Real period |
R |
4.1348692557534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2385i3 12720z3 |
Quadratic twists by: -4 -3 |