Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312k |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1621618061737984 = 219 · 313 · 473 |
Discriminant |
Eigenvalues |
2- -1 -3 1 -6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184512,30505984] |
[a1,a2,a3,a4,a6] |
Generators |
[352:3008:1] |
Generators of the group modulo torsion |
j |
169605513858025153/395902847104 |
j-invariant |
L |
2.1586204832112 |
L(r)(E,1)/r! |
Ω |
0.47542593616651 |
Real period |
R |
0.37836606416146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914f2 93248ba2 |
Quadratic twists by: -4 8 |