Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16758o |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19800 |
Modular degree for the optimal curve |
Δ |
-52145801568 = -1 · 25 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,10989] |
[a1,a2,a3,a4,a6] |
j |
-1/608 |
j-invariant |
L |
0.89387026815167 |
L(r)(E,1)/r! |
Ω |
0.89387026815167 |
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 |
1862f1 342g1 |
Quadratic twists by: -3 -7 |