Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dm |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
381012193420992000 = 29 · 33 · 53 · 76 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-187700,9931927] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:5533:1] |
Generators of the group modulo torsion |
j |
216690855238717119/112892501754368 |
j-invariant |
L |
11.766065176236 |
L(r)(E,1)/r! |
Ω |
0.26467918665591 |
Real period |
R |
1.2348350773615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550r2 116550ba2 |
Quadratic twists by: -3 5 |