Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405t |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-434933646875 = -1 · 55 · 77 · 132 |
Discriminant |
Eigenvalues |
-2 -3 5- 7- 3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-637,-32328] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-613:1] |
Generators of the group modulo torsion |
j |
-1437696/21875 |
j-invariant |
L |
1.9002915249395 |
L(r)(E,1)/r! |
Ω |
0.40348654790772 |
Real period |
R |
0.23548387607806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915e1 41405i1 |
Quadratic twists by: -7 13 |