Atkin-Lehner |
2+ 3+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10266a |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1093598847641088 = -1 · 29 · 316 · 292 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4955,1594653] |
[a1,a2,a3,a4,a6] |
j |
-13458344190189625/1093598847641088 |
j-invariant |
L |
1.6151687220813 |
L(r)(E,1)/r! |
Ω |
0.40379218052033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128bd1 30798p1 |
Quadratic twists by: -4 -3 |