Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50460l |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-533387430000 = -1 · 24 · 37 · 54 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -7 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1634,24809] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:75:1] [-10:87:1] |
Generators of the group modulo torsion |
j |
1235663104/1366875 |
j-invariant |
L |
10.517433846415 |
L(r)(E,1)/r! |
Ω |
0.61492896606851 |
Real period |
R |
0.20361302312877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50460b1 |
Quadratic twists by: 29 |