Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7448u |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-14896 = -1 · 24 · 72 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 7- 3 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
14336/19 |
j-invariant |
L |
3.262531877364 |
L(r)(E,1)/r! |
Ω |
2.655815693094 |
Real period |
R |
0.6142240754597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14896s1 59584bi1 67032u1 7448m1 |
Quadratic twists by: -4 8 -3 -7 |