Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144n |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
2816536473501696 = 237 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11+ 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-990536,379770864] |
[a1,a2,a3,a4,a6] |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
1.6818604185028 |
L(r)(E,1)/r! |
Ω |
0.4204651046257 |
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 |
1518i1 48576dl1 36432co1 |
Quadratic twists by: -4 8 -3 |