Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49632l |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-303872655347712 = -1 · 212 · 34 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11+ 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6337,-862993] |
[a1,a2,a3,a4,a6] |
j |
-6872004209728/74187659997 |
j-invariant |
L |
1.8544890668163 |
L(r)(E,1)/r! |
Ω |
0.2318111334001 |
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 |
49632i1 99264br1 |
Quadratic twists by: -4 8 |