Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327b |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-762819593107 = -1 · 11 · 132 · 177 |
Discriminant |
Eigenvalues |
0 2 4 1 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15991,784814] |
[a1,a2,a3,a4,a6] |
Generators |
[9420:5573:125] |
Generators of the group modulo torsion |
j |
-18736316416/31603 |
j-invariant |
L |
9.3649176800137 |
L(r)(E,1)/r! |
Ω |
0.89817196509123 |
Real period |
R |
2.6066605405165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2431b1 |
Quadratic twists by: 17 |