Atkin-Lehner |
2+ 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41736b |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
105925968 = 24 · 34 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-983,-12186] |
[a1,a2,a3,a4,a6] |
j |
6572128000000/6620373 |
j-invariant |
L |
3.4104416335971 |
L(r)(E,1)/r! |
Ω |
0.85261040839501 |
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 |
83472c1 125208k1 |
Quadratic twists by: -4 -3 |