Atkin-Lehner |
23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16399c |
Isogeny class |
Conductor |
16399 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-105549588857 = -1 · 237 · 31 |
Discriminant |
Eigenvalues |
1 1 0 3 4 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,-15753] |
[a1,a2,a3,a4,a6] |
Generators |
[2644827:22892478:29791] |
Generators of the group modulo torsion |
j |
-15625/713 |
j-invariant |
L |
7.7862780637301 |
L(r)(E,1)/r! |
Ω |
0.46372965383491 |
Real period |
R |
8.3952772907015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
713a1 |
Quadratic twists by: -23 |