Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432u |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-14577181696 = -1 · 210 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11- 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539,-7546] |
[a1,a2,a3,a4,a6] |
j |
-1188 |
j-invariant |
L |
1.9136202835277 |
L(r)(E,1)/r! |
Ω |
0.47840507090025 |
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 |
94864o1 968d1 47432h1 |
Quadratic twists by: -4 -7 -11 |