Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344o |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-65765489792790528 = -1 · 212 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54756,13287456] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:3996:1] |
Generators of the group modulo torsion |
j |
-46656/169 |
j-invariant |
L |
4.5809342259577 |
L(r)(E,1)/r! |
Ω |
0.30481002976258 |
Real period |
R |
3.7572043055476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344n2 48672a1 97344f2 7488a2 |
Quadratic twists by: -4 8 -3 13 |