Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dz |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
296960 |
Modular degree for the optimal curve |
Δ |
-14977695744 = -1 · 215 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52716,4658672] |
[a1,a2,a3,a4,a6] |
Generators |
[133:9:1] |
Generators of the group modulo torsion |
j |
-678224691656/627 |
j-invariant |
L |
8.6438407698935 |
L(r)(E,1)/r! |
Ω |
1.0431215979696 |
Real period |
R |
1.0358141403712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384ct1 60192r1 40128bl1 |
Quadratic twists by: -4 8 -3 |