Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105ck |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2028311421010875 = -1 · 34 · 53 · 73 · 112 · 136 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27053,-2764177] |
[a1,a2,a3,a4,a6] |
Generators |
[309:4135:1] |
Generators of the group modulo torsion |
j |
-6383411072258527/5913444376125 |
j-invariant |
L |
10.261404908136 |
L(r)(E,1)/r! |
Ω |
0.17928785795051 |
Real period |
R |
0.7949200472509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105c2 |
Quadratic twists by: -7 |