Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920u |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
829898265600 = 210 · 312 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11307,-460694] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:40:1] |
Generators of the group modulo torsion |
j |
214160022436/1111725 |
j-invariant |
L |
6.3742316752371 |
L(r)(E,1)/r! |
Ω |
0.46312520883895 |
Real period |
R |
1.7204396223684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21960k2 14640j2 |
Quadratic twists by: -4 -3 |