Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200o |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
424000000000 = 212 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55075,-4974750] |
[a1,a2,a3,a4,a6] |
Generators |
[16635:377000:27] |
Generators of the group modulo torsion |
j |
288673724529/6625 |
j-invariant |
L |
5.755007716725 |
L(r)(E,1)/r! |
Ω |
0.31164597788947 |
Real period |
R |
4.6166228068297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1325b1 84800bm1 4240b1 |
Quadratic twists by: -4 8 5 |