Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288l |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
965217893328 = 24 · 38 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2874,-35813] |
[a1,a2,a3,a4,a6] |
Generators |
[-10087:52326:343] |
Generators of the group modulo torsion |
j |
225079785472/82751877 |
j-invariant |
L |
8.3654617921564 |
L(r)(E,1)/r! |
Ω |
0.67218338583495 |
Real period |
R |
6.2226038074729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144n1 18096o1 |
Quadratic twists by: -4 -3 |