Atkin-Lehner |
5- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925n |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-221515099609375 = -1 · 59 · 11 · 134 · 192 |
Discriminant |
Eigenvalues |
1 -2 5- -4 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3299,-712077] |
[a1,a2,a3,a4,a6] |
Generators |
[2781:145301:1] |
Generators of the group modulo torsion |
j |
2033901163/113415731 |
j-invariant |
L |
2.8825997865148 |
L(r)(E,1)/r! |
Ω |
0.26765875447743 |
Real period |
R |
5.3848412186683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67925p1 |
Quadratic twists by: 5 |