Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150r |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-1091593735178906250 = -1 · 2 · 34 · 58 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116075,52473375] |
[a1,a2,a3,a4,a6] |
j |
-744385/4698 |
j-invariant |
L |
1.9013726439606 |
L(r)(E,1)/r! |
Ω |
0.23767165479417 |
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 |
126150cz1 4350x1 |
Quadratic twists by: 5 29 |