Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bx |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-161838611940096 = -1 · 28 · 310 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9996,476084] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-882:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
4.5419934104504 |
L(r)(E,1)/r! |
Ω |
0.38976391664364 |
Real period |
R |
0.72832444469788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bv1 15288h1 6552w1 |
Quadratic twists by: -4 -3 -7 |