Atkin-Lehner |
5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
3445b |
Isogeny class |
Conductor |
3445 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
440 |
Modular degree for the optimal curve |
Δ |
-2153125 = -1 · 55 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 1 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40,117] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
-7088952961/2153125 |
j-invariant |
L |
1.4390203832982 |
L(r)(E,1)/r! |
Ω |
2.4662653229889 |
Real period |
R |
0.11669631567087 |
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 |
55120q1 31005j1 17225c1 44785c1 |
Quadratic twists by: -4 -3 5 13 |