Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dd |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-62411286332178432 = -1 · 217 · 35 · 115 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11+ 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25057,-12124513] |
[a1,a2,a3,a4,a6] |
j |
-13274505046514/476160326631 |
j-invariant |
L |
4.5780305781096 |
L(r)(E,1)/r! |
Ω |
0.1526010192763 |
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 |
48576r1 12144d1 |
Quadratic twists by: -4 8 |