Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bl |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
519437318400 = 28 · 34 · 52 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34321,2444201] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-205:1] |
Generators of the group modulo torsion |
j |
4470996220846838929/519437318400 |
j-invariant |
L |
9.041552291064 |
L(r)(E,1)/r! |
Ω |
0.89142415681933 |
Real period |
R |
0.31696303822852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090bo2 |
Quadratic twists by: -3 |