Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550f |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
272187500 = 22 · 57 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 2 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,16898] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-34:1] [-8:166:1] |
Generators of the group modulo torsion |
j |
13841287201/17420 |
j-invariant |
L |
4.0698058709434 |
L(r)(E,1)/r! |
Ω |
1.7359090324822 |
Real period |
R |
0.29306013411344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710n1 |
Quadratic twists by: 5 |