Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265f |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1744875 = -1 · 33 · 53 · 11 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6972,224070] |
[a1,a2,a3,a4,a6] |
j |
-1388136210628608/64625 |
j-invariant |
L |
1.3188350889871 |
L(r)(E,1)/r! |
Ω |
1.9782526334807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23265d2 116325d1 |
Quadratic twists by: -3 5 |