Atkin-Lehner |
2- 3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bj |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
4096 |
Product of Tamagawa factors cp |
Δ |
4.330889804241E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19765900,-33817260115] |
[a1,a2,a3,a4,a6] |
j |
854030724380137731837009601/433088980424100000000 |
j-invariant |
L |
4.5826173863769 |
L(r)(E,1)/r! |
Ω |
0.071603396662159 |
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 |
90090x2 |
Quadratic twists by: -3 |