Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150z |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-10838016000 = -1 · 216 · 33 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1265,18337] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:140:1] |
Generators of the group modulo torsion |
j |
-66282611823/3211264 |
j-invariant |
L |
4.7494885350348 |
L(r)(E,1)/r! |
Ω |
1.2667579610587 |
Real period |
R |
0.11716643690622 |
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 |
25200dl1 100800bn1 3150e1 3150i1 |
Quadratic twists by: -4 8 -3 5 |