Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470b |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
63882000000 = 27 · 33 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204645,-35581675] |
[a1,a2,a3,a4,a6] |
Generators |
[-573235:289680:2197] |
Generators of the group modulo torsion |
j |
207719778895841043/14000000 |
j-invariant |
L |
4.4091723094596 |
L(r)(E,1)/r! |
Ω |
0.22446527895924 |
Real period |
R |
4.9107509459837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470do1 106470ds1 |
Quadratic twists by: -3 13 |