Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200z |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
51093280000 = 28 · 54 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5575,-159850] |
[a1,a2,a3,a4,a6] |
Generators |
[-1185:460:27] |
Generators of the group modulo torsion |
j |
119767323600/319333 |
j-invariant |
L |
11.519289251328 |
L(r)(E,1)/r! |
Ω |
0.55259624732352 |
Real period |
R |
3.4742934849372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600bj1 53200u1 |
Quadratic twists by: -4 5 |