Atkin-Lehner |
2+ 5- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45050f |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
11262500000 = 25 · 58 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -3 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1742,-27084] |
[a1,a2,a3,a4,a6] |
Generators |
[-1420:1771:64] |
Generators of the group modulo torsion |
j |
1497091545/28832 |
j-invariant |
L |
4.2284731295807 |
L(r)(E,1)/r! |
Ω |
0.73983334224833 |
Real period |
R |
5.7154400702365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45050m1 |
Quadratic twists by: 5 |