Atkin-Lehner |
5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109265b |
Isogeny class |
Conductor |
109265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5701436236723122025 = -1 · 52 · 134 · 418 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18526,114877924] |
[a1,a2,a3,a4,a6] |
Generators |
[-229048:3094681:512] |
Generators of the group modulo torsion |
j |
-148035889/1200276025 |
j-invariant |
L |
5.5234705284061 |
L(r)(E,1)/r! |
Ω |
0.19232075766857 |
Real period |
R |
7.1800238536834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665e2 |
Quadratic twists by: 41 |