Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346bc |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-214852829184 = -1 · 217 · 34 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4516,118544] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-100:1] |
Generators of the group modulo torsion |
j |
-29695962241063/626393088 |
j-invariant |
L |
8.6127134970735 |
L(r)(E,1)/r! |
Ω |
0.99813389948445 |
Real period |
R |
0.063447174518856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52038i1 17346u1 |
Quadratic twists by: -3 -7 |