Atkin-Lehner |
3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11781i |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-22338295749 = -1 · 310 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 11- 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229,7008] |
[a1,a2,a3,a4,a6] |
j |
1829276567/30642381 |
j-invariant |
L |
1.7942815068354 |
L(r)(E,1)/r! |
Ω |
0.89714075341768 |
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 |
3927b1 82467bg1 129591n1 |
Quadratic twists by: -3 -7 -11 |