Atkin-Lehner |
2- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166q |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
123840 |
Modular degree for the optimal curve |
Δ |
45527745536 = 210 · 73 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18829,999093] |
[a1,a2,a3,a4,a6] |
j |
2152235222594631/132733952 |
j-invariant |
L |
5.3843152396243 |
L(r)(E,1)/r! |
Ω |
1.0768630499678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75166s1 |
Quadratic twists by: -7 |