Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hy |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
96018048000 = 210 · 37 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,-2450] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:112:1] |
Generators of the group modulo torsion |
j |
5324/3 |
j-invariant |
L |
6.0239784826285 |
L(r)(E,1)/r! |
Ω |
0.88179296052109 |
Real period |
R |
1.7078777972333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cb1 88200dj1 88200hx1 |
Quadratic twists by: -3 5 -7 |