Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150p |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-151380000 = -1 · 25 · 32 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75,-675] |
[a1,a2,a3,a4,a6] |
j |
-90625/288 |
j-invariant |
L |
1.4932817420929 |
L(r)(E,1)/r! |
Ω |
0.74664071721934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150cv1 126150dm1 |
Quadratic twists by: 5 29 |