Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89888d |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-601452103596544 = -1 · 29 · 537 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 3 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-936,-1179676] |
[a1,a2,a3,a4,a6] |
Generators |
[368160:222922:3375] |
Generators of the group modulo torsion |
j |
-8/53 |
j-invariant |
L |
9.3198404317342 |
L(r)(E,1)/r! |
Ω |
0.23422821565468 |
Real period |
R |
9.9473929755181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89888i1 1696f1 |
Quadratic twists by: -4 53 |