Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616t |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-160622051328 = -1 · 217 · 36 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1044,14256] |
[a1,a2,a3,a4,a6] |
Generators |
[6:144:1] |
Generators of the group modulo torsion |
j |
1317006/1681 |
j-invariant |
L |
4.2009409583757 |
L(r)(E,1)/r! |
Ω |
0.68703613030514 |
Real period |
R |
0.76432315075444 |
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 |
23616cb2 2952h2 2624a2 |
Quadratic twists by: -4 8 -3 |