Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840do |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-129890304000 = -1 · 214 · 37 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1861,-36061] |
[a1,a2,a3,a4,a6] |
j |
-43528754176/7927875 |
j-invariant |
L |
2.5190335046553 |
L(r)(E,1)/r! |
Ω |
0.35986192923641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840n1 6960h1 83520fo1 |
Quadratic twists by: -4 8 -3 |