Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31740j |
Isogeny class |
Conductor |
31740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20749278660053760 = 28 · 32 · 5 · 239 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336620,-74964492] |
[a1,a2,a3,a4,a6] |
Generators |
[-306969386000439611273482344:428702039004852284959068661:890679423560959820662272] |
Generators of the group modulo torsion |
j |
9148592/45 |
j-invariant |
L |
8.3295727163306 |
L(r)(E,1)/r! |
Ω |
0.19826362452406 |
Real period |
R |
42.012611926802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126960by2 95220k2 31740f2 |
Quadratic twists by: -4 -3 -23 |