Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23312h |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4451937026048 = 221 · 312 · 472 |
Discriminant |
Eigenvalues |
2- -2 4 0 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44176,3557652] |
[a1,a2,a3,a4,a6] |
j |
2327730853071889/1086898688 |
j-invariant |
L |
3.056008083842 |
L(r)(E,1)/r! |
Ω |
0.76400202096053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2914h2 93248y2 |
Quadratic twists by: -4 8 |