Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7448t |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-238336 = -1 · 28 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -1 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,29] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
-7168/19 |
j-invariant |
L |
5.1865795621782 |
L(r)(E,1)/r! |
Ω |
2.7628398300825 |
Real period |
R |
0.93863196586814 |
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 |
14896v1 59584bm1 67032w1 7448o1 |
Quadratic twists by: -4 8 -3 -7 |