Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144b |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
327888 = 24 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87,342] |
[a1,a2,a3,a4,a6] |
j |
4604090368/20493 |
j-invariant |
L |
1.5313986421359 |
L(r)(E,1)/r! |
Ω |
3.0627972842717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6072l1 48576dw1 36432n1 |
Quadratic twists by: -4 8 -3 |