Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7448c |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ -3 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-18052] |
[a1,a2,a3,a4,a6] |
j |
-9604/19 |
j-invariant |
L |
3.3749937156558 |
L(r)(E,1)/r! |
Ω |
0.42187421445697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14896f1 59584i1 67032bw1 7448e1 |
Quadratic twists by: -4 8 -3 -7 |