Atkin-Lehner |
2+ 3+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41736a |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
150912 |
Modular degree for the optimal curve |
Δ |
-5735255611392 = -1 · 211 · 36 · 37 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8696,335628] |
[a1,a2,a3,a4,a6] |
j |
-35514221085938/2800417779 |
j-invariant |
L |
4.4665993660649 |
L(r)(E,1)/r! |
Ω |
0.74443322766841 |
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 |
83472h1 125208j1 |
Quadratic twists by: -4 -3 |