Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148co |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1568830269889757952 = 28 · 35 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7662244,8160830852] |
[a1,a2,a3,a4,a6] |
Generators |
[1052:35574:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
6.4692102588947 |
L(r)(E,1)/r! |
Ω |
0.2494469878131 |
Real period |
R |
0.8644736257679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1452c2 6468m2 |
Quadratic twists by: -7 -11 |