Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cb |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-32699699200 = -1 · 212 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395,9210] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:98:1] |
Generators of the group modulo torsion |
j |
-66560265/319333 |
j-invariant |
L |
4.8162869856043 |
L(r)(E,1)/r! |
Ω |
1.0138850767398 |
Real period |
R |
0.47503283123701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3325e1 53200cy1 |
Quadratic twists by: -4 5 |