Atkin-Lehner |
7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227c |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
59640 |
Modular degree for the optimal curve |
Δ |
-10696802441507 = -1 · 74 · 137 · 71 |
Discriminant |
Eigenvalues |
1 0 0 7+ -3 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1822,160635] |
[a1,a2,a3,a4,a6] |
Generators |
[102:963:1] |
Generators of the group modulo torsion |
j |
-278683169625/4455144707 |
j-invariant |
L |
5.3464536093518 |
L(r)(E,1)/r! |
Ω |
0.60880761913147 |
Real period |
R |
1.2545491597765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45227h1 |
Quadratic twists by: -7 |