Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
46128w |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-117658407665664 = -1 · 219 · 35 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -3 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7368,-459180] |
[a1,a2,a3,a4,a6] |
Generators |
[60:450:1] |
Generators of the group modulo torsion |
j |
11692487/31104 |
j-invariant |
L |
8.665061516841 |
L(r)(E,1)/r! |
Ω |
0.30385893220138 |
Real period |
R |
2.8516724698735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766a1 46128u1 |
Quadratic twists by: -4 -31 |