Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cj |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3636718750000 = -1 · 24 · 512 · 72 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7133,-251762] |
[a1,a2,a3,a4,a6] |
Generators |
[28874:1734425:8] |
Generators of the group modulo torsion |
j |
-160568836096/14546875 |
j-invariant |
L |
4.1251601330147 |
L(r)(E,1)/r! |
Ω |
0.25841070178366 |
Real period |
R |
7.9817904298744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13300g1 10640u1 |
Quadratic twists by: -4 5 |