Atkin-Lehner |
2+ 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9086a |
Isogeny class |
Conductor |
9086 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4464 |
Modular degree for the optimal curve |
Δ |
-1391648104 = -1 · 23 · 7 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 11+ -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-770,-8228] |
[a1,a2,a3,a4,a6] |
Generators |
[33:22:1] |
Generators of the group modulo torsion |
j |
-50525789641209/1391648104 |
j-invariant |
L |
2.4338032602694 |
L(r)(E,1)/r! |
Ω |
0.45239200691828 |
Real period |
R |
2.6899273451454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72688h1 81774bz1 63602f1 99946k1 |
Quadratic twists by: -4 -3 -7 -11 |