Atkin-Lehner |
2- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
122960t |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
136192 |
Modular degree for the optimal curve |
Δ |
-491840000000 = -1 · 212 · 57 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- 3 1 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1680,-20332] |
[a1,a2,a3,a4,a6] |
Generators |
[31:250:1] |
Generators of the group modulo torsion |
j |
127947874319/120078125 |
j-invariant |
L |
9.5920204624988 |
L(r)(E,1)/r! |
Ω |
0.50948990298723 |
Real period |
R |
1.3447652558678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7685d1 |
Quadratic twists by: -4 |