Atkin-Lehner |
3- 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
54315k |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2366457873046875 = -1 · 310 · 59 · 172 · 71 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -2 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7368,2327800] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-1913:1] |
Generators of the group modulo torsion |
j |
60679925006336/3246169921875 |
j-invariant |
L |
5.6458816221465 |
L(r)(E,1)/r! |
Ω |
0.34944698570468 |
Real period |
R |
0.44879495738513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105a1 |
Quadratic twists by: -3 |