Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152c |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3685400576 = -1 · 214 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ -1 -3 2 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,363,-1331] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
321978368/224939 |
j-invariant |
L |
2.7190818179618 |
L(r)(E,1)/r! |
Ω |
0.79097512804795 |
Real period |
R |
1.7188162570119 |
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 |
9152z1 572a1 82368bz1 100672bt1 |
Quadratic twists by: -4 8 -3 -11 |