Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616x |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-52914290688 = -1 · 220 · 34 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,447,-10305] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2376:1] |
Generators of the group modulo torsion |
j |
37595375/201852 |
j-invariant |
L |
7.7982325291293 |
L(r)(E,1)/r! |
Ω |
0.56319621076037 |
Real period |
R |
3.4615966803929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616c1 29904a1 |
Quadratic twists by: -4 8 |