Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400k |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-125296875000000 = -1 · 26 · 36 · 512 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27758,1869012] |
[a1,a2,a3,a4,a6] |
j |
-2365396076224/125296875 |
j-invariant |
L |
2.3201929665231 |
L(r)(E,1)/r! |
Ω |
0.58004824163084 |
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 |
26400bz1 52800ck2 79200ds1 5280t1 |
Quadratic twists by: -4 8 -3 5 |