Atkin-Lehner |
3- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
16353c |
Isogeny class |
Conductor |
16353 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-3973779 = -1 · 37 · 23 · 79 |
Discriminant |
Eigenvalues |
2 3- -1 -4 5 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-903,-10445] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/5451 |
j-invariant |
L |
3.4836646119132 |
L(r)(E,1)/r! |
Ω |
0.43545807648914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5451a1 |
Quadratic twists by: -3 |