Atkin-Lehner |
2- 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030cc |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3511198470780 = 22 · 32 · 5 · 7 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87665,9982797] |
[a1,a2,a3,a4,a6] |
j |
74507970369217890961/3511198470780 |
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 |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090o4 |
Quadratic twists by: -3 |