Atkin-Lehner |
2+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1696d |
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] |
Generators |
[-2:20:1] [0:16:1] |
Generators of the group modulo torsion |
j |
-11852352/53 |
j-invariant |
L |
2.0676218247986 |
L(r)(E,1)/r! |
Ω |
3.1699196552353 |
Real period |
R |
0.16306579106707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1696c1 3392n1 15264m1 42400i1 |
Quadratic twists by: -4 8 -3 5 |