Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925u |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
5445847845703125 = 39 · 59 · 74 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -3 -1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-117750,15141406] |
[a1,a2,a3,a4,a6] |
Generators |
[50:3062:1] |
Generators of the group modulo torsion |
j |
126808653824/3824793 |
j-invariant |
L |
4.4361184611859 |
L(r)(E,1)/r! |
Ω |
0.42680657453071 |
Real period |
R |
1.2992180568857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975i1 92925bg1 |
Quadratic twists by: -3 5 |