Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510dt |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
18113804755200 = 28 · 37 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9932,-318769] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:109:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
10.691323840305 |
L(r)(E,1)/r! |
Ω |
0.48367362610736 |
Real period |
R |
1.3815261034481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170u1 990j1 |
Quadratic twists by: -3 -7 |