Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10266k |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-243366904728 = -1 · 23 · 36 · 294 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 1 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-610,-24484] |
[a1,a2,a3,a4,a6] |
Generators |
[38:68:1] |
Generators of the group modulo torsion |
j |
-25104854795041/243366904728 |
j-invariant |
L |
5.3650081796394 |
L(r)(E,1)/r! |
Ω |
0.41872121474022 |
Real period |
R |
0.17795611942238 |
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 |
82128t1 30798e1 |
Quadratic twists by: -4 -3 |