Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160ba |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9378201600 = 218 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-868347,-311449814] |
[a1,a2,a3,a4,a6] |
Generators |
[117526205811:-7517380056290:27270901] |
Generators of the group modulo torsion |
j |
654756659970817923/84800 |
j-invariant |
L |
6.0079009501242 |
L(r)(E,1)/r! |
Ω |
0.15639621114418 |
Real period |
R |
19.207309774862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770v2 38160t2 |
Quadratic twists by: -4 -3 |