Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41272d |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
78818903108176 = 24 · 73 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11- 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11599,216934] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2662:1] |
Generators of the group modulo torsion |
j |
10787053101463552/4926181444261 |
j-invariant |
L |
8.8152396894661 |
L(r)(E,1)/r! |
Ω |
0.54690656557189 |
Real period |
R |
1.0073978176061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544m1 |
Quadratic twists by: -4 |