Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240y |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3888740699209728000 = 236 · 39 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-398412,-19164816] |
[a1,a2,a3,a4,a6] |
Generators |
[1140:31752:1] |
Generators of the group modulo torsion |
j |
1355469437763/753664000 |
j-invariant |
L |
6.0239241278391 |
L(r)(E,1)/r! |
Ω |
0.20378237281524 |
Real period |
R |
4.9267625099045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dz3 2070a3 66240g1 |
Quadratic twists by: -4 8 -3 |