Atkin-Lehner |
3- 5+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165f |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-223591383544921875 = -1 · 39 · 512 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,122712,-15614757] |
[a1,a2,a3,a4,a6] |
Generators |
[18404:421843:64] |
Generators of the group modulo torsion |
j |
280322067182649344/306709716796875 |
j-invariant |
L |
6.2762496467153 |
L(r)(E,1)/r! |
Ω |
0.16997570292323 |
Real period |
R |
2.3077745799193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999110185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41055l1 |
Quadratic twists by: -3 |