Atkin-Lehner |
2- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6944f |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-97216 = -1 · 26 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,-16] |
[a1,a2,a3,a4,a6] |
j |
314432/1519 |
j-invariant |
L |
1.698607606147 |
L(r)(E,1)/r! |
Ω |
1.698607606147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6944d1 13888d1 62496i1 48608l1 |
Quadratic twists by: -4 8 -3 -7 |