Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440s |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-47567250000000000 = -1 · 210 · 38 · 512 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3237,10493062] |
[a1,a2,a3,a4,a6] |
Generators |
[227:4788:1] |
Generators of the group modulo torsion |
j |
5024864156/63720703125 |
j-invariant |
L |
4.4298615911677 |
L(r)(E,1)/r! |
Ω |
0.28232992709264 |
Real period |
R |
3.9225930073951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880m4 83520dd3 3480l4 52200m3 |
Quadratic twists by: -4 8 -3 5 |