Atkin-Lehner |
2- 3- 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74124f |
Isogeny class |
Conductor |
74124 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-9764662453629696 = -1 · 28 · 36 · 29 · 715 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42216,-3384844] |
[a1,a2,a3,a4,a6] |
Generators |
[1445:55451:1] |
Generators of the group modulo torsion |
j |
44584865619968/52322651179 |
j-invariant |
L |
4.9012661114941 |
L(r)(E,1)/r! |
Ω |
0.21955425452809 |
Real period |
R |
2.2323712754841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8236b1 |
Quadratic twists by: -3 |