Atkin-Lehner |
2- 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030cc |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
3928244720400 = 24 · 34 · 52 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5765,138417] |
[a1,a2,a3,a4,a6] |
j |
21189775491153361/3928244720400 |
j-invariant |
L |
5.9597812360371 |
L(r)(E,1)/r! |
Ω |
0.74497265450442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
90090o2 |
Quadratic twists by: -3 |