Atkin-Lehner |
3+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265h |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-300612654052734375 = -1 · 39 · 512 · 113 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105437,29513836] |
[a1,a2,a3,a4,a6] |
Generators |
[206:3959:1] |
Generators of the group modulo torsion |
j |
-6585786983627307/15272705078125 |
j-invariant |
L |
2.9813224806139 |
L(r)(E,1)/r! |
Ω |
0.27208357495342 |
Real period |
R |
1.8262296067941 |
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 |
23265c1 116325c1 |
Quadratic twists by: -3 5 |