Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840l |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
230096776826880 = 212 · 318 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52681,-4578935] |
[a1,a2,a3,a4,a6] |
j |
3947608165749184/56175970905 |
j-invariant |
L |
2.5231876417447 |
L(r)(E,1)/r! |
Ω |
0.31539845521816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840bs1 13920bc1 83520bx1 |
Quadratic twists by: -4 8 -3 |