Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600da |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-582187500000000 = -1 · 28 · 34 · 513 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21133,-1664137] |
[a1,a2,a3,a4,a6] |
j |
-260956266496/145546875 |
j-invariant |
L |
3.087783352329 |
L(r)(E,1)/r! |
Ω |
0.19298645952057 |
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 |
6900a1 110400gq1 82800dj1 5520s1 |
Quadratic twists by: -4 8 -3 5 |