Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144r |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
239030352 = 24 · 310 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,396] |
[a1,a2,a3,a4,a6] |
j |
31238127616/14939397 |
j-invariant |
L |
0.78390499057877 |
L(r)(E,1)/r! |
Ω |
1.5678099811575 |
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 |
3036j1 48576dq1 36432cv1 |
Quadratic twists by: -4 8 -3 |