Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5530j |
Isogeny class |
Conductor |
5530 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-16876220703125000 = -1 · 23 · 518 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1037336,-406790584] |
[a1,a2,a3,a4,a6] |
j |
-123447440070716936162689/16876220703125000 |
j-invariant |
L |
4.0390561639536 |
L(r)(E,1)/r! |
Ω |
0.074797336369511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44240j3 49770ba3 27650b3 38710bk3 |
Quadratic twists by: -4 -3 5 -7 |