Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cq |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51845847302836224 = 212 · 310 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149556,-19379360] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:608:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
4.5994065061296 |
L(r)(E,1)/r! |
Ω |
0.24503375531003 |
Real period |
R |
4.6926254096684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001201 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69696cr2 34848t1 23232bx2 6336bc2 |
Quadratic twists by: -4 8 -3 -11 |