Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432y |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-206317891584 = -1 · 212 · 34 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,139,-21891] |
[a1,a2,a3,a4,a6] |
j |
71991296/50370579 |
j-invariant |
L |
0.93534417292775 |
L(r)(E,1)/r! |
Ω |
0.46767208646388 |
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 |
777g1 49728eg1 37296bn1 87024dl1 |
Quadratic twists by: -4 8 -3 -7 |