Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650be |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-26973000 = -1 · 23 · 36 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[19:58:1] |
Generators of the group modulo torsion |
j |
-804357/296 |
j-invariant |
L |
3.9663408237694 |
L(r)(E,1)/r! |
Ω |
0.76708404218253 |
Real period |
R |
1.2926682754618 |
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 |
1850n1 16650cp1 |
Quadratic twists by: -3 5 |