Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7448k |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1752499504 = -1 · 24 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 5 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686,-7203] |
[a1,a2,a3,a4,a6] |
Generators |
[98:931:1] |
Generators of the group modulo torsion |
j |
-387072/19 |
j-invariant |
L |
4.9906818029825 |
L(r)(E,1)/r! |
Ω |
0.46510117304136 |
Real period |
R |
1.7883857291908 |
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 |
14896b1 59584d1 67032q1 7448r1 |
Quadratic twists by: -4 8 -3 -7 |