Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650o |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-369260370000000000 = -1 · 210 · 36 · 510 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106992,-32163584] |
[a1,a2,a3,a4,a6] |
j |
-19026212425/51868672 |
j-invariant |
L |
1.9600197487482 |
L(r)(E,1)/r! |
Ω |
0.12250123429676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1850i1 16650cv1 |
Quadratic twists by: -3 5 |