Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936u |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-15532587577584 = -1 · 24 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,-189503] |
[a1,a2,a3,a4,a6] |
j |
-12967168/8251551 |
j-invariant |
L |
2.5152240137128 |
L(r)(E,1)/r! |
Ω |
0.3144030017141 |
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 |
25872r1 103488dm1 38808z1 1848l1 |
Quadratic twists by: -4 8 -3 -7 |