Atkin-Lehner |
3- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263v |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-7083192501 = -1 · 34 · 75 · 112 · 43 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-217,4214] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-70:1] |
Generators of the group modulo torsion |
j |
-9342059353/58538781 |
j-invariant |
L |
3.5950654875047 |
L(r)(E,1)/r! |
Ω |
1.1438630386975 |
Real period |
R |
0.15714580065802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263o1 |
Quadratic twists by: -11 |