Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800j |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-54067200 = -1 · 216 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,-2463] |
[a1,a2,a3,a4,a6] |
Generators |
[33:144:1] |
Generators of the group modulo torsion |
j |
-2977540/33 |
j-invariant |
L |
4.491621278011 |
L(r)(E,1)/r! |
Ω |
0.55022030697652 |
Real period |
R |
2.0408285649693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800gx1 6600o1 52800dl1 |
Quadratic twists by: -4 8 5 |