Atkin-Lehner |
2+ 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650bg |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-462023433000000 = -1 · 26 · 37 · 56 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18474,369448] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:117:1] [2:636:1] |
Generators of the group modulo torsion |
j |
44629322792111/29569499712 |
j-invariant |
L |
8.9226939928876 |
L(r)(E,1)/r! |
Ω |
0.33029113007158 |
Real period |
R |
0.32160278571562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386j1 |
Quadratic twists by: 5 |