Atkin-Lehner |
2- 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030br |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
43647163560000 = 26 · 32 · 54 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17546,-837660] |
[a1,a2,a3,a4,a6] |
j |
597392318775335329/43647163560000 |
j-invariant |
L |
5.000745060152 |
L(r)(E,1)/r! |
Ω |
0.41672875501261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090cc2 |
Quadratic twists by: -3 |