Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830j |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3376357084800 = -1 · 27 · 37 · 52 · 7 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 4 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17550,903636] |
[a1,a2,a3,a4,a6] |
Generators |
[3:921:1] |
Generators of the group modulo torsion |
j |
-820052139160801/4631491200 |
j-invariant |
L |
3.585735150086 |
L(r)(E,1)/r! |
Ω |
0.79776053078554 |
Real period |
R |
0.3745626049122 |
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 |
8610q1 129150dl1 |
Quadratic twists by: -3 5 |