Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ew |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4706490809669273856 = -1 · 28 · 36 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,387321,47817506] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:686:1] [70:8676:1] |
Generators of the group modulo torsion |
j |
160630448/117649 |
j-invariant |
L |
9.7108096624821 |
L(r)(E,1)/r! |
Ω |
0.1554947984156 |
Real period |
R |
15.612756444641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492bk2 13552q2 121968gj2 |
Quadratic twists by: -4 -3 -11 |