Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640j |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3913012924646400 = 210 · 32 · 52 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57880,4454272] |
[a1,a2,a3,a4,a6] |
Generators |
[214:1350:1] |
Generators of the group modulo torsion |
j |
445138564/81225 |
j-invariant |
L |
5.7746904798441 |
L(r)(E,1)/r! |
Ω |
0.4193429271498 |
Real period |
R |
3.4427017268158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003702 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320bg2 4560j2 |
Quadratic twists by: -4 -19 |