Atkin-Lehner |
2+ 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326l |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-4156847420352 = -1 · 26 · 3 · 118 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2786,113012] |
[a1,a2,a3,a4,a6] |
Generators |
[-10035:285857:729] |
Generators of the group modulo torsion |
j |
-1349232625/2346432 |
j-invariant |
L |
7.4549326873286 |
L(r)(E,1)/r! |
Ω |
0.69746970359362 |
Real period |
R |
5.3442699002957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6666g1 |
Quadratic twists by: -11 |