Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bo |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17800962676224 = -1 · 29 · 3 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2648,-195220] |
[a1,a2,a3,a4,a6] |
Generators |
[3176219914:32141104575:33386248] |
Generators of the group modulo torsion |
j |
830584/7203 |
j-invariant |
L |
11.275146393833 |
L(r)(E,1)/r! |
Ω |
0.34214062985449 |
Real period |
R |
16.477356645624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568b2 672f4 |
Quadratic twists by: -4 13 |