Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486c |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
13793756711969808 = 24 · 39 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-176055,27909773] |
[a1,a2,a3,a4,a6] |
Generators |
[-461:3538:1] |
Generators of the group modulo torsion |
j |
651714363/14896 |
j-invariant |
L |
6.2543627441545 |
L(r)(E,1)/r! |
Ω |
0.3963109088704 |
Real period |
R |
3.9453637309576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45486y1 2394i1 |
Quadratic twists by: -3 -19 |