Atkin-Lehner |
2- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6110d |
Isogeny class |
Conductor |
6110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3920 |
Modular degree for the optimal curve |
Δ |
-872538550 = -1 · 2 · 52 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110,-1535] |
[a1,a2,a3,a4,a6] |
j |
-147281603041/872538550 |
j-invariant |
L |
6.5976402633511 |
L(r)(E,1)/r! |
Ω |
0.65976402633511 |
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 |
48880t1 54990i1 30550d1 79430b1 |
Quadratic twists by: -4 -3 5 13 |