Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030d |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-56756700 = -1 · 22 · 34 · 52 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33,369] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-24:1] |
Generators of the group modulo torsion |
j |
3789119879/56756700 |
j-invariant |
L |
3.5504377737885 |
L(r)(E,1)/r! |
Ω |
1.4723118280859 |
Real period |
R |
0.60286783445941 |
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 |
90090cw1 |
Quadratic twists by: -3 |