Atkin-Lehner |
3- 5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485k |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
20843447295825 = 37 · 52 · 72 · 11 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10103,325806] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:831:1] |
Generators of the group modulo torsion |
j |
156425280396841/28591834425 |
j-invariant |
L |
3.5128551614759 |
L(r)(E,1)/r! |
Ω |
0.64863477751817 |
Real period |
R |
1.3539418646368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116461 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33495h1 |
Quadratic twists by: -3 |