Atkin-Lehner |
3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565a |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-89230746345675 = -1 · 3 · 52 · 113 · 197 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 11+ 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4934,432822] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-542:1] [51:-903:1] |
Generators of the group modulo torsion |
j |
282300416/1896675 |
j-invariant |
L |
4.0123658639863 |
L(r)(E,1)/r! |
Ω |
0.43866360899663 |
Real period |
R |
1.1433493061919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3135c1 |
Quadratic twists by: -19 |