Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72111c |
Isogeny class |
Conductor |
72111 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
3265113969 = 35 · 132 · 433 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-404,-1521] |
[a1,a2,a3,a4,a6] |
Generators |
[34:139:1] [-9:42:1] |
Generators of the group modulo torsion |
j |
91733851/41067 |
j-invariant |
L |
6.7547855295791 |
L(r)(E,1)/r! |
Ω |
1.110285651682 |
Real period |
R |
1.2167653467015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72111a1 |
Quadratic twists by: -43 |