Atkin-Lehner |
2- 3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942r |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
133542730071539712 = 222 · 35 · 74 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-242815,-42585319] |
[a1,a2,a3,a4,a6] |
Generators |
[2918:-156691:1] |
Generators of the group modulo torsion |
j |
1583253146452999336561/133542730071539712 |
j-invariant |
L |
6.5285753623911 |
L(r)(E,1)/r! |
Ω |
0.21622520840865 |
Real period |
R |
0.18299033539907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826g1 |
Quadratic twists by: -3 |