Atkin-Lehner |
3- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
118041f |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-41662216827 = -1 · 32 · 78 · 11 · 73 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,572,-8102] |
[a1,a2,a3,a4,a6] |
Generators |
[16:73:1] |
Generators of the group modulo torsion |
j |
3584000/7227 |
j-invariant |
L |
3.4425841457881 |
L(r)(E,1)/r! |
Ω |
0.59651873935429 |
Real period |
R |
0.96185414634251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118041a1 |
Quadratic twists by: -7 |