Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270o |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3910048422944400 = 24 · 38 · 52 · 116 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39932,-635136] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1581:1] |
Generators of the group modulo torsion |
j |
3975097468321/2207120400 |
j-invariant |
L |
3.3286895744644 |
L(r)(E,1)/r! |
Ω |
0.36203832048627 |
Real period |
R |
2.2985754345403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045473 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
870g2 |
Quadratic twists by: -11 |