Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960ci |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-126321120000 = -1 · 28 · 37 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18183,943882] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1350:1] [77:-18:1] |
Generators of the group modulo torsion |
j |
-9868374736/1875 |
j-invariant |
L |
11.345178880248 |
L(r)(E,1)/r! |
Ω |
1.0126694102437 |
Real period |
R |
0.70020252657997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320p1 129960l1 |
Quadratic twists by: -3 -19 |