Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63800g |
Isogeny class |
Conductor |
63800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
360551637842000 = 24 · 53 · 118 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25803,1299298] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:1595:1] |
Generators of the group modulo torsion |
j |
949994639403008/180275818921 |
j-invariant |
L |
4.5073540164942 |
L(r)(E,1)/r! |
Ω |
0.51067562371924 |
Real period |
R |
0.55164102796333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600p1 63800r1 |
Quadratic twists by: -4 5 |