Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820f |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-13549680 = -1 · 24 · 35 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90,405] |
[a1,a2,a3,a4,a6] |
Generators |
[11:25:1] |
Generators of the group modulo torsion |
j |
-5095042816/846855 |
j-invariant |
L |
5.3183041163544 |
L(r)(E,1)/r! |
Ω |
2.1528950582125 |
Real period |
R |
2.4703034623374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125460h1 |
Quadratic twists by: -3 |