Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640h |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
68649349555200 = 210 · 3 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10974520,13997160832] |
[a1,a2,a3,a4,a6] |
Generators |
[9398637:12130:4913] |
Generators of the group modulo torsion |
j |
3034301922374404/1425 |
j-invariant |
L |
5.8723940547287 |
L(r)(E,1)/r! |
Ω |
0.3747487621155 |
Real period |
R |
7.8351080040712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006122 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320be4 4560g3 |
Quadratic twists by: -4 -19 |