Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030j |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
458574815917968750 = 2 · 38 · 512 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-443339,-108884464] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:2107:1] |
Generators of the group modulo torsion |
j |
9636739426242959278249/458574815917968750 |
j-invariant |
L |
4.1512752755383 |
L(r)(E,1)/r! |
Ω |
0.18556446293158 |
Real period |
R |
1.3981917691687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090do2 |
Quadratic twists by: -3 |