Atkin-Lehner |
2- 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944o |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-28394496 = -1 · 210 · 33 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 2 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,262] |
[a1,a2,a3,a4,a6] |
Generators |
[11:36:1] |
Generators of the group modulo torsion |
j |
-78732/1027 |
j-invariant |
L |
8.0474094758925 |
L(r)(E,1)/r! |
Ω |
1.7820078104669 |
Real period |
R |
1.128980668269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73944d1 |
Quadratic twists by: -3 |