Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cy |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-510932800000000 = -1 · 212 · 58 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -6 -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9875,1151250] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:758:1] |
Generators of the group modulo torsion |
j |
-66560265/319333 |
j-invariant |
L |
4.2082966463329 |
L(r)(E,1)/r! |
Ω |
0.45342319059254 |
Real period |
R |
4.6405838228159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3325j1 53200cb1 |
Quadratic twists by: -4 5 |