Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bm |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2798286426964224 = 28 · 38 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54831,-4236050] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:540:1] [-159:680:1] |
Generators of the group modulo torsion |
j |
830321872/127449 |
j-invariant |
L |
9.8151435998792 |
L(r)(E,1)/r! |
Ω |
0.31521019549312 |
Real period |
R |
7.7846019378096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005366 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59976bp2 39984p2 17136d2 |
Quadratic twists by: -4 -3 -7 |