Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646ct |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
232308992342016 = 211 · 310 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -6 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22163,1042355] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:514:1] [-123:1438:1] |
Generators of the group modulo torsion |
j |
19772781481/3815424 |
j-invariant |
L |
16.279039323753 |
L(r)(E,1)/r! |
Ω |
0.52934738250544 |
Real period |
R |
0.23297754853069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bh1 119646cn1 |
Quadratic twists by: -3 17 |