Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bm |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1191119888448 = 26 · 36 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3170,-43487] |
[a1,a2,a3,a4,a6] |
Generators |
[79:401:1] |
Generators of the group modulo torsion |
j |
41063625/13888 |
j-invariant |
L |
9.0849424356884 |
L(r)(E,1)/r! |
Ω |
0.65367807958055 |
Real period |
R |
0.57909126828389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038d1 3906n1 |
Quadratic twists by: -3 -7 |