Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912t |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3945251462971392 = -1 · 228 · 34 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21343,2780607] |
[a1,a2,a3,a4,a6] |
j |
4101378352343/15049939968 |
j-invariant |
L |
2.5042523908437 |
L(r)(E,1)/r! |
Ω |
0.31303154885548 |
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 |
30912bs1 966a1 92736bq1 |
Quadratic twists by: -4 8 -3 |