Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86580a |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-757401840 = -1 · 24 · 39 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,-1323] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] [13:35:1] |
Generators of the group modulo torsion |
j |
6912/2405 |
j-invariant |
L |
10.192487989946 |
L(r)(E,1)/r! |
Ω |
0.74973806858167 |
Real period |
R |
2.2657886394713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86580c1 |
Quadratic twists by: -3 |