Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550cq |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-266379924608000 = -1 · 210 · 53 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-130733,-18221743] |
[a1,a2,a3,a4,a6] |
j |
-342914041253/369664 |
j-invariant |
L |
5.0211726548192 |
L(r)(E,1)/r! |
Ω |
0.12552931636948 |
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 |
46550bb1 46550cv1 |
Quadratic twists by: 5 -7 |