Atkin-Lehner |
3+ 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
16653a |
Isogeny class |
Conductor |
16653 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
17135937 = 32 · 74 · 13 · 61 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] [-4:14:1] |
Generators of the group modulo torsion |
j |
31107273625/17135937 |
j-invariant |
L |
7.0276041430505 |
L(r)(E,1)/r! |
Ω |
1.7952663568494 |
Real period |
R |
3.914518932658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49959d1 116571r1 |
Quadratic twists by: -3 -7 |