Atkin-Lehner |
3+ 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
59085b |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-1679845635 = -1 · 39 · 5 · 132 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 1 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,268,946] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:26:1] [10:62:1] |
Generators of the group modulo torsion |
j |
108531333/85345 |
j-invariant |
L |
6.4441208862309 |
L(r)(E,1)/r! |
Ω |
0.96152264596188 |
Real period |
R |
1.6754989893617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59085a1 |
Quadratic twists by: -3 |