Atkin-Lehner |
2- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98900c |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50976 |
Modular degree for the optimal curve |
Δ |
-5686750000 = -1 · 24 · 56 · 232 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,3588] |
[a1,a2,a3,a4,a6] |
j |
2048000/22747 |
j-invariant |
L |
0.99552039885992 |
L(r)(E,1)/r! |
Ω |
0.99552056086924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3956d1 |
Quadratic twists by: 5 |