Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936q |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-139793288198256 = -1 · 24 · 39 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12920,59809] |
[a1,a2,a3,a4,a6] |
j |
369381632/216513 |
j-invariant |
L |
1.4107346654492 |
L(r)(E,1)/r! |
Ω |
0.3526836663623 |
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 |
25872m1 103488cy1 38808s1 12936z1 |
Quadratic twists by: -4 8 -3 -7 |