Atkin-Lehner |
2+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800bi |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
235520000 = 214 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 3 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,3537] |
[a1,a2,a3,a4,a6] |
j |
878800/23 |
j-invariant |
L |
3.5132406782958 |
L(r)(E,1)/r! |
Ω |
1.7566203391402 |
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 |
36800dr1 2300h1 36800bc1 |
Quadratic twists by: -4 8 5 |