Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985n |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-88177182795 = -1 · 39 · 5 · 13 · 413 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4827,-129870] |
[a1,a2,a3,a4,a6] |
Generators |
[1810:25745:8] |
Generators of the group modulo torsion |
j |
-17061927030784/120956355 |
j-invariant |
L |
3.3622910770522 |
L(r)(E,1)/r! |
Ω |
0.28626373162053 |
Real period |
R |
5.8727157960571 |
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 |
7995h1 119925bg1 |
Quadratic twists by: -3 5 |