Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870n |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-677605500 = -1 · 22 · 36 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,796] |
[a1,a2,a3,a4,a6] |
j |
881974079/929500 |
j-invariant |
L |
2.1353271738895 |
L(r)(E,1)/r! |
Ω |
1.0676635869448 |
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 |
102960dl1 1430i1 64350em1 |
Quadratic twists by: -4 -3 5 |