Atkin-Lehner |
3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10731b |
Isogeny class |
Conductor |
10731 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-231886179 = -1 · 33 · 76 · 73 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 0 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,131,-498] |
[a1,a2,a3,a4,a6] |
j |
2097152/1971 |
j-invariant |
L |
1.928964370161 |
L(r)(E,1)/r! |
Ω |
0.96448218508051 |
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 |
32193d1 219b1 |
Quadratic twists by: -3 -7 |