Atkin-Lehner |
2- 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530y |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-416813506560000 = -1 · 216 · 39 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16583,1284927] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-882:1] |
Generators of the group modulo torsion |
j |
-691768740750121/571760640000 |
j-invariant |
L |
7.654502654072 |
L(r)(E,1)/r! |
Ω |
0.48678510758576 |
Real period |
R |
0.49139384958931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510b1 |
Quadratic twists by: -3 |