Atkin-Lehner |
2+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59878b |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-697458944 = -1 · 28 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -1 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-228,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:53:1] [-8:60:1] |
Generators of the group modulo torsion |
j |
-3847751263/2033408 |
j-invariant |
L |
5.531570651966 |
L(r)(E,1)/r! |
Ω |
1.4967683748492 |
Real period |
R |
0.46195947423524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59878r1 |
Quadratic twists by: -7 |