Atkin-Lehner |
7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9709c |
Isogeny class |
Conductor |
9709 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-163179163 = -1 · 76 · 19 · 73 |
Discriminant |
Eigenvalues |
0 -2 0 7- -6 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-103,701] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:3:1] [-3:31:1] |
Generators of the group modulo torsion |
j |
-122023936000/163179163 |
j-invariant |
L |
3.7991104150398 |
L(r)(E,1)/r! |
Ω |
1.6382107362744 |
Real period |
R |
3.4785913047538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87381g1 67963d1 |
Quadratic twists by: -3 -7 |