Atkin-Lehner |
3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10731a |
Isogeny class |
Conductor |
10731 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-405877103802891 = -1 · 39 · 710 · 73 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 0 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11335,1078629] |
[a1,a2,a3,a4,a6] |
j |
-1369110052864/3449898459 |
j-invariant |
L |
0.94140442771902 |
L(r)(E,1)/r! |
Ω |
0.47070221385951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32193c1 1533b1 |
Quadratic twists by: -3 -7 |