Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7632q |
Isogeny class |
Conductor |
7632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-889088679936 = -1 · 213 · 36 · 533 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -3 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,-48814] |
[a1,a2,a3,a4,a6] |
Generators |
[1057:-34344:1] [65:376:1] |
Generators of the group modulo torsion |
j |
-81182737/297754 |
j-invariant |
L |
4.6470673940557 |
L(r)(E,1)/r! |
Ω |
0.36428714466353 |
Real period |
R |
0.53152522926529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
954f2 30528bo2 848c2 |
Quadratic twists by: -4 8 -3 |