Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ed |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
876759552000 = 212 · 310 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4185,92583] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-120:1] [81:-540:1] |
Generators of the group modulo torsion |
j |
1979492775616/214052625 |
j-invariant |
L |
8.8731527407023 |
L(r)(E,1)/r! |
Ω |
0.86050295249294 |
Real period |
R |
0.34371963183454 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840da1 13920c1 83520fm1 |
Quadratic twists by: -4 8 -3 |