Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fj |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-601360427695104 = -1 · 210 · 33 · 711 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11041,1265209] |
[a1,a2,a3,a4,a6] |
Generators |
[432:8771:1] |
Generators of the group modulo torsion |
j |
-1235663104/4991679 |
j-invariant |
L |
3.8161204058198 |
L(r)(E,1)/r! |
Ω |
0.44938550210997 |
Real period |
R |
4.245931831138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999740535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488dw1 25872t1 14784cd1 |
Quadratic twists by: -4 8 -7 |