Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148m |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-4567281333560228976 = -1 · 24 · 3 · 79 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,152178,-100301991] |
[a1,a2,a3,a4,a6] |
Generators |
[17796:-456533:27] |
Generators of the group modulo torsion |
j |
256/3 |
j-invariant |
L |
3.0755085997679 |
L(r)(E,1)/r! |
Ω |
0.12029214852894 |
Real period |
R |
2.1305828055639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148bs1 71148l1 |
Quadratic twists by: -7 -11 |