Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840r |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-114004810800 = -1 · 24 · 37 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-858,-18907] |
[a1,a2,a3,a4,a6] |
j |
-5988775936/9774075 |
j-invariant |
L |
1.6699725322763 |
L(r)(E,1)/r! |
Ω |
0.41749313306908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13680g1 54720bm1 2280b1 34200z1 |
Quadratic twists by: -4 8 -3 5 |