Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400l |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
455625000000 = 26 · 36 · 510 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5658,158688] |
[a1,a2,a3,a4,a6] |
j |
20034997696/455625 |
j-invariant |
L |
2.8093345583885 |
L(r)(E,1)/r! |
Ω |
0.93644485279616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2400v1 4800g2 7200bo1 480e1 |
Quadratic twists by: -4 8 -3 5 |