Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12300k |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-492000000 = -1 · 28 · 3 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,2463] |
[a1,a2,a3,a4,a6] |
j |
-1024000/123 |
j-invariant |
L |
3.2184375847654 |
L(r)(E,1)/r! |
Ω |
1.6092187923827 |
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 |
49200bx1 36900f1 492a1 |
Quadratic twists by: -4 -3 5 |