Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30900a |
Isogeny class |
Conductor |
30900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-312862500000000 = -1 · 28 · 35 · 511 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24908,-1727688] |
[a1,a2,a3,a4,a6] |
j |
-427265402704/78215625 |
j-invariant |
L |
1.1288525487815 |
L(r)(E,1)/r! |
Ω |
0.18814209146318 |
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 |
123600cd1 92700j1 6180c1 |
Quadratic twists by: -4 -3 5 |