Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984o |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
38212073422848 = 220 · 33 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1349955,-603708094] |
[a1,a2,a3,a4,a6] |
Generators |
[-2572451424872010:5284378368566:3833771939451] |
Generators of the group modulo torsion |
j |
2460128970701158875/345522944 |
j-invariant |
L |
6.3415714278949 |
L(r)(E,1)/r! |
Ω |
0.14006181032818 |
Real period |
R |
22.638474431316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10998b1 87984u3 |
Quadratic twists by: -4 -3 |