Atkin-Lehner |
2- 3+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592d |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
216561141153792 = 218 · 39 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378891,89764794] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:12032:1] |
Generators of the group modulo torsion |
j |
74613143896299/2686144 |
j-invariant |
L |
4.3633543236574 |
L(r)(E,1)/r! |
Ω |
0.5249224048141 |
Real period |
R |
2.0780949141252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16074e1 128592e1 |
Quadratic twists by: -4 -3 |