Atkin-Lehner |
7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9709b |
Isogeny class |
Conductor |
9709 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
9709 = 7 · 19 · 73 |
Discriminant |
Eigenvalues |
0 1 -3 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3145717,-2148521298] |
[a1,a2,a3,a4,a6] |
Generators |
[446190:2834081:216] [-14160360:-6911:13824] |
Generators of the group modulo torsion |
j |
3442570146140016049389568/9709 |
j-invariant |
L |
5.1578601671069 |
L(r)(E,1)/r! |
Ω |
0.11336255636339 |
Real period |
R |
45.498799008855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87381h3 67963c3 |
Quadratic twists by: -3 -7 |