Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cl |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
238715941689225 = 34 · 52 · 78 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15730,-156325] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:425:1] |
Generators of the group modulo torsion |
j |
3658671062929/2029052025 |
j-invariant |
L |
5.5796565282266 |
L(r)(E,1)/r! |
Ω |
0.45684632736672 |
Real period |
R |
1.5266776164165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055853 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015a2 |
Quadratic twists by: -7 |