Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bl |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1536392627930160 = -1 · 24 · 38 · 5 · 7 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31521,2860281] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-1119:1] |
Generators of the group modulo torsion |
j |
-3463574504930659729/1536392627930160 |
j-invariant |
L |
9.041552291064 |
L(r)(E,1)/r! |
Ω |
0.44571207840967 |
Real period |
R |
0.63392607645703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bo3 |
Quadratic twists by: -3 |