Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12546m |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
725308950528 = 211 · 36 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-98435,-11862269] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:98:1] |
Generators of the group modulo torsion |
j |
144690722229371625/994936832 |
j-invariant |
L |
7.2408366934056 |
L(r)(E,1)/r! |
Ω |
0.26953346357844 |
Real period |
R |
1.2211060409334 |
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 |
100368bu2 1394a2 |
Quadratic twists by: -4 -3 |