Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330bn |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
4278792413376000000 = 212 · 36 · 56 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70133483,226060638806] |
[a1,a2,a3,a4,a6] |
Generators |
[4815:-8:1] |
Generators of the group modulo torsion |
j |
7903870428425797297009/886464000000 |
j-invariant |
L |
4.3023549579894 |
L(r)(E,1)/r! |
Ω |
0.19023258355487 |
Real period |
R |
0.62823023141722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570k2 |
Quadratic twists by: 13 |