Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290dr |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
446688 |
Modular degree for the optimal curve |
Δ |
-4117405386248000 = -1 · 26 · 53 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80165,-9272383] |
[a1,a2,a3,a4,a6] |
j |
-110699281/8000 |
j-invariant |
L |
2.5429824838878 |
L(r)(E,1)/r! |
Ω |
0.14127680491216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59290dc1 59290bf1 |
Quadratic twists by: -7 -11 |