Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074t |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
17970549111668736 = 214 · 35 · 11 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261262,50884811] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:10267:1] |
Generators of the group modulo torsion |
j |
81706955619457/744505344 |
j-invariant |
L |
8.3595998603813 |
L(r)(E,1)/r! |
Ω |
0.3900444718222 |
Real period |
R |
3.061775355779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222k1 1122i1 |
Quadratic twists by: -3 17 |