Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275de |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
118208496363890625 = 312 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127017,5505016] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:4568:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
7.8760372523705 |
L(r)(E,1)/r! |
Ω |
0.29173133151978 |
Real period |
R |
3.3746963707473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999068898 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40425y2 4851j2 2475g2 |
Quadratic twists by: -3 5 -7 |