Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486m |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-114229248 = -1 · 216 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49,-535] |
[a1,a2,a3,a4,a6] |
j |
-13027640977/114229248 |
j-invariant |
L |
3.1634051063673 |
L(r)(E,1)/r! |
Ω |
0.79085127659183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27888x1 111552d1 10458f1 87150i1 |
Quadratic twists by: -4 8 -3 5 |