Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376p |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9274227375168 = 26 · 33 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6778,-159328] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1470:1] |
Generators of the group modulo torsion |
j |
4574296000/1231713 |
j-invariant |
L |
8.3413690333 |
L(r)(E,1)/r! |
Ω |
0.53675936072439 |
Real period |
R |
2.590039919115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376bq1 12768f1 |
Quadratic twists by: -4 -7 |