Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630g |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1054080 |
Modular degree for the optimal curve |
Δ |
-103521949018531740 = -1 · 22 · 33 · 5 · 618 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52016,-14786998] |
[a1,a2,a3,a4,a6] |
j |
81191/540 |
j-invariant |
L |
3.0122142304871 |
L(r)(E,1)/r! |
Ω |
0.16734527023671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111630v1 |
Quadratic twists by: 61 |