Atkin-Lehner |
2+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1696c |
Isogeny class |
Conductor |
1696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-217088 = -1 · 212 · 53 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 6 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,-256] |
[a1,a2,a3,a4,a6] |
j |
-11852352/53 |
j-invariant |
L |
3.2330316707581 |
L(r)(E,1)/r! |
Ω |
0.80825791768953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1696d1 3392o1 15264l1 42400j1 |
Quadratic twists by: -4 8 -3 5 |