Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135j |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
266635546875 = 35 · 58 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -1 -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1675,8750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-175:1] |
Generators of the group modulo torsion |
j |
185025936889/94921875 |
j-invariant |
L |
3.6992739884095 |
L(r)(E,1)/r! |
Ω |
0.86460408072072 |
Real period |
R |
0.10696439187868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405n1 42135c1 |
Quadratic twists by: -3 53 |