Atkin-Lehner |
2+ 7+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90454a |
Isogeny class |
Conductor |
90454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-1362153298688 = -1 · 28 · 78 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -1 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12112,519168] |
[a1,a2,a3,a4,a6] |
Generators |
[48:192:1] |
Generators of the group modulo torsion |
j |
-34088441625/236288 |
j-invariant |
L |
4.5046489796281 |
L(r)(E,1)/r! |
Ω |
0.86043292858438 |
Real period |
R |
2.6176642090011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90454e1 |
Quadratic twists by: -7 |