Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770u |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
1.041558994944E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8864436,-8896537611] |
[a1,a2,a3,a4,a6] |
Generators |
[-1219:10593:1] |
Generators of the group modulo torsion |
j |
77033040819870172293281089/10415589949440000000000 |
j-invariant |
L |
5.2986787406417 |
L(r)(E,1)/r! |
Ω |
0.088279017611116 |
Real period |
R |
2.3085365208331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310ba1 83850p1 |
Quadratic twists by: -3 5 |