Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bt |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
586116000000000000 = 214 · 37 · 512 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-664347,205139914] |
[a1,a2,a3,a4,a6] |
j |
10859783578981849/196289062500 |
j-invariant |
L |
3.4873797306928 |
L(r)(E,1)/r! |
Ω |
0.29061497756553 |
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 |
6030y3 16080u3 |
Quadratic twists by: -4 -3 |