Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123539d |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-1.1006573919029E+19 |
Discriminant |
Eigenvalues |
-1 -2 -2 0 -6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55851,-159533336] |
[a1,a2,a3,a4,a6] |
Generators |
[62103:2943733:27] |
Generators of the group modulo torsion |
j |
3991682340647/2280300280999 |
j-invariant |
L |
1.0716141401622 |
L(r)(E,1)/r! |
Ω |
0.10630612247606 |
Real period |
R |
10.080454976645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000054871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9503a1 |
Quadratic twists by: 13 |