Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946b |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-53676 = -1 · 22 · 33 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 3 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] [2:3:1] |
Generators of the group modulo torsion |
j |
2803221/1988 |
j-invariant |
L |
3.8004192567007 |
L(r)(E,1)/r! |
Ω |
1.9966366794211 |
Real period |
R |
0.47585262955849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568z1 8946n1 62622h1 |
Quadratic twists by: -4 -3 -7 |