Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432w |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45726131462602752 = 219 · 32 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4812208,4064758720] |
[a1,a2,a3,a4,a6] |
Generators |
[1224:2624:1] |
Generators of the group modulo torsion |
j |
25574596275390625/94889088 |
j-invariant |
L |
5.410567539812 |
L(r)(E,1)/r! |
Ω |
0.31492519233312 |
Real period |
R |
1.0737803108467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bg2 13776w2 |
Quadratic twists by: -4 -7 |