Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
994f |
Isogeny class |
Conductor |
994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-711527068 = -1 · 22 · 7 · 714 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44,1267] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:27:1] |
Generators of the group modulo torsion |
j |
9622822383/711527068 |
j-invariant |
L |
3.0834509733287 |
L(r)(E,1)/r! |
Ω |
1.2270223102264 |
Real period |
R |
2.5129542858596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7952d4 31808g3 8946k4 24850a3 |
Quadratic twists by: -4 8 -3 5 |