Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650q |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
-209295979315200 = -1 · 223 · 36 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 1 -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27942,-1920844] |
[a1,a2,a3,a4,a6] |
Generators |
[3098975:7144273:15625] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
3.7931252058877 |
L(r)(E,1)/r! |
Ω |
0.18372100374035 |
Real period |
R |
10.323058138874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1850m1 16650cg1 |
Quadratic twists by: -3 5 |