Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6448m |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-83824 = -1 · 24 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 2 3 3 -2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,11] |
[a1,a2,a3,a4,a6] |
j |
1257728/5239 |
j-invariant |
L |
4.8773453368483 |
L(r)(E,1)/r! |
Ω |
2.4386726684242 |
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 |
1612c1 25792bc1 58032br1 83824t1 |
Quadratic twists by: -4 8 -3 13 |