Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24684d |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-3249599232 = -1 · 28 · 3 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 11- -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,323,-1703] |
[a1,a2,a3,a4,a6] |
j |
991232/867 |
j-invariant |
L |
1.558046871824 |
L(r)(E,1)/r! |
Ω |
0.77902343591196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736dg1 74052k1 24684a1 |
Quadratic twists by: -4 -3 -11 |