Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200bm |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7834368000 = -1 · 211 · 3 · 53 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,472,-1452] |
[a1,a2,a3,a4,a6] |
Generators |
[12:78:1] |
Generators of the group modulo torsion |
j |
45330374/30603 |
j-invariant |
L |
7.9420428787814 |
L(r)(E,1)/r! |
Ω |
0.74667371575025 |
Real period |
R |
2.6591410473463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999655972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600f2 121200u2 |
Quadratic twists by: -4 5 |