Atkin-Lehner |
2- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224q |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-730807405458760448 = -1 · 28 · 77 · 132 · 295 |
Discriminant |
Eigenvalues |
2- -3 -4 7- 4 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88568,-39859220] |
[a1,a2,a3,a4,a6] |
Generators |
[1882:82418:1] |
Generators of the group modulo torsion |
j |
300133353018138624/2854716427573283 |
j-invariant |
L |
2.6954347462286 |
L(r)(E,1)/r! |
Ω |
0.140844357574 |
Real period |
R |
0.13669773970253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10556c1 |
Quadratic twists by: -4 |