Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315j |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-2993458889264765625 = -1 · 323 · 57 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ -2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-219780,-92151675] |
[a1,a2,a3,a4,a6] |
Generators |
[21703019451934668:410744916513481839:27192154047911] |
Generators of the group modulo torsion |
j |
-1610503980214409281/4106253620390625 |
j-invariant |
L |
5.4495815665005 |
L(r)(E,1)/r! |
Ω |
0.10260856609428 |
Real period |
R |
26.555197942699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6105k1 91575u1 |
Quadratic twists by: -3 5 |