Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10731d |
Isogeny class |
Conductor |
10731 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-6084477 = -1 · 35 · 73 · 73 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 5 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[11:26:1] |
Generators of the group modulo torsion |
j |
-3442951/17739 |
j-invariant |
L |
3.9317302404483 |
L(r)(E,1)/r! |
Ω |
0.99335825825221 |
Real period |
R |
0.39580183763369 |
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 |
32193e1 10731c1 |
Quadratic twists by: -3 -7 |