Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325cd |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2502488694831E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-364325835,-2676597499269] |
[a1,a2,a3,a4,a6] |
Generators |
[1226820063656801922281941872790019060556588357227828825422890239720656160:-5359548304331009402763723103821046117608967014588383927045215128932826035021:64281469481491583373376420205201764482612383028939293768880259072] |
Generators of the group modulo torsion |
j |
-58688914588883190611431424/137201522028327 |
j-invariant |
L |
15.601960684426 |
L(r)(E,1)/r! |
Ω |
0.017278143105883 |
Real period |
R |
112.87353470809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775bk2 98325cj2 |
Quadratic twists by: -3 5 |