Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100y |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
47032528500000000 = 28 · 313 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -1 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10074000,12306962500] |
[a1,a2,a3,a4,a6] |
Generators |
[2600:60750:1] |
Generators of the group modulo torsion |
j |
310193018568704/129033 |
j-invariant |
L |
5.7725726334036 |
L(r)(E,1)/r! |
Ω |
0.29132707268369 |
Real period |
R |
0.82561451467356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700t1 53100x1 |
Quadratic twists by: -3 5 |