Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620b |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
891648 |
Modular degree for the optimal curve |
Δ |
-1.54057426875E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,164568,187085956] |
[a1,a2,a3,a4,a6] |
Generators |
[452:18810:1] |
Generators of the group modulo torsion |
j |
71310939172134912/2228840087890625 |
j-invariant |
L |
5.5608130734765 |
L(r)(E,1)/r! |
Ω |
0.1666325967155 |
Real period |
R |
0.46349583713961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37620a2 |
Quadratic twists by: -3 |