Atkin-Lehner |
3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725t |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-100590894140625 = -1 · 310 · 58 · 72 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7437,415242] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-1041:1] [-18:534:1] |
Generators of the group modulo torsion |
j |
2911343039639/6437817225 |
j-invariant |
L |
7.1044154634377 |
L(r)(E,1)/r! |
Ω |
0.41528048179403 |
Real period |
R |
0.85537555638863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345a2 |
Quadratic twists by: 5 |