Atkin-Lehner |
7+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9709a |
Isogeny class |
Conductor |
9709 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
9709 = 7 · 19 · 73 |
Discriminant |
Eigenvalues |
0 1 1 7+ -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:0:1] |
Generators of the group modulo torsion |
j |
16777216/9709 |
j-invariant |
L |
4.1101404328368 |
L(r)(E,1)/r! |
Ω |
3.44993366817 |
Real period |
R |
1.1913679589721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87381d1 67963b1 |
Quadratic twists by: -3 -7 |