Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bj |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-343489902784 = -1 · 26 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1601,13161] |
[a1,a2,a3,a4,a6] |
Generators |
[204288925440:2009818135513:6783468957] |
Generators of the group modulo torsion |
j |
25088/19 |
j-invariant |
L |
11.807874489898 |
L(r)(E,1)/r! |
Ω |
0.61429591235128 |
Real period |
R |
19.221802151836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584x1 29792b1 59584j1 |
Quadratic twists by: -4 8 -7 |