Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120n |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18322329600 = 212 · 34 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2825,58377] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:315:1] |
Generators of the group modulo torsion |
j |
608937674176/4473225 |
j-invariant |
L |
5.4213510505789 |
L(r)(E,1)/r! |
Ω |
1.2319988383118 |
Real period |
R |
2.2002257153122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45120bd2 22560d1 |
Quadratic twists by: -4 8 |