Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dj |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-20044800 = -1 · 210 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,215] |
[a1,a2,a3,a4,a6] |
Generators |
[2:15:1] |
Generators of the group modulo torsion |
j |
-256/19575 |
j-invariant |
L |
7.6708057938736 |
L(r)(E,1)/r! |
Ω |
1.7246373931708 |
Real period |
R |
0.74129648201689 |
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 |
27840f1 6960k1 83520gj1 |
Quadratic twists by: -4 8 -3 |