Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536bf |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-56868864 = -1 · 214 · 3 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 -1 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[26:144:1] |
Generators of the group modulo torsion |
j |
23639903/13884 |
j-invariant |
L |
8.0362301666112 |
L(r)(E,1)/r! |
Ω |
1.1654880732278 |
Real period |
R |
1.7237907343817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942j1 |
Quadratic twists by: -4 |