Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22385j |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
101088 |
Modular degree for the optimal curve |
Δ |
-131678013671875 = -1 · 59 · 113 · 373 |
Discriminant |
Eigenvalues |
0 2 5- -3 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-102725,-12650342] |
[a1,a2,a3,a4,a6] |
j |
-90069620769161216/98931640625 |
j-invariant |
L |
2.399905122406 |
L(r)(E,1)/r! |
Ω |
0.13332806235589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925a1 22385i1 |
Quadratic twists by: 5 -11 |