Atkin-Lehner |
2- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
58432k |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-48707103808 = -1 · 26 · 113 · 833 |
Discriminant |
Eigenvalues |
2- 0 -4 -3 11+ 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13487,-602960] |
[a1,a2,a3,a4,a6] |
Generators |
[144:664:1] |
Generators of the group modulo torsion |
j |
-4239257631499584/761048497 |
j-invariant |
L |
1.5989724634392 |
L(r)(E,1)/r! |
Ω |
0.22150627930032 |
Real period |
R |
2.4062108885294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432p1 29216d1 |
Quadratic twists by: -4 8 |