Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842w |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-275834589184 = -1 · 212 · 7 · 112 · 433 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9538,361793] |
[a1,a2,a3,a4,a6] |
Generators |
[59:13:1] |
Generators of the group modulo torsion |
j |
-792989812776249/2279624704 |
j-invariant |
L |
8.93588799922 |
L(r)(E,1)/r! |
Ω |
0.98105266684625 |
Real period |
R |
0.25301303329619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72842c1 |
Quadratic twists by: -11 |