Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486bn |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6935391608544 = -1 · 25 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,502,126505] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-925:1] |
Generators of the group modulo torsion |
j |
53261199/26353376 |
j-invariant |
L |
9.956254130149 |
L(r)(E,1)/r! |
Ω |
0.58144455084299 |
Real period |
R |
0.12230934287107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5054a1 45486n1 |
Quadratic twists by: -3 -19 |