Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144bx |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-37413767314151424 = -1 · 211 · 39 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2353323,-1389569146] |
[a1,a2,a3,a4,a6] |
Generators |
[191962:84102516:1] |
Generators of the group modulo torsion |
j |
-23923707806/621 |
j-invariant |
L |
4.9961883394436 |
L(r)(E,1)/r! |
Ω |
0.060946461763073 |
Real period |
R |
10.247084480511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048a1 81144bw1 |
Quadratic twists by: -3 -7 |