Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150j |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-4.6324508000256E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1527567,-1264688659] |
[a1,a2,a3,a4,a6] |
j |
-1281779604287883/1506258452480 |
j-invariant |
L |
2.0787714879164 |
L(r)(E,1)/r! |
Ω |
0.06496160899732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30150bw1 6030n1 |
Quadratic twists by: -3 5 |