Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7448o |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-28039992064 = -1 · 28 · 78 · 19 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -1 -4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,-9045] |
[a1,a2,a3,a4,a6] |
Generators |
[65:490:1] |
Generators of the group modulo torsion |
j |
-7168/19 |
j-invariant |
L |
3.1634830527988 |
L(r)(E,1)/r! |
Ω |
0.47965377743829 |
Real period |
R |
1.0992244828809 |
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 |
14896e1 59584f1 67032n1 7448t1 |
Quadratic twists by: -4 8 -3 -7 |