Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2400o |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9000000000 = 29 · 32 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,-15912] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:18:1] |
Generators of the group modulo torsion |
j |
195112/9 |
j-invariant |
L |
3.701345640192 |
L(r)(E,1)/r! |
Ω |
0.81206643139616 |
Real period |
R |
2.2789672723131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2400e2 4800bs2 7200bt2 2400y2 |
Quadratic twists by: -4 8 -3 5 |