Atkin-Lehner |
3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43095g |
Isogeny class |
Conductor |
43095 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-136897459093321875 = -1 · 35 · 55 · 139 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-110075,22718906] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:5492:1] |
Generators of the group modulo torsion |
j |
-30558612127744/28361896875 |
j-invariant |
L |
3.3908247218667 |
L(r)(E,1)/r! |
Ω |
0.2991961672002 |
Real period |
R |
0.5666557753065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285o1 3315a1 |
Quadratic twists by: -3 13 |