Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350h |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-4231845000 = -1 · 23 · 39 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4092,-99784] |
[a1,a2,a3,a4,a6] |
j |
-616054275/344 |
j-invariant |
L |
1.7906775260685 |
L(r)(E,1)/r! |
Ω |
0.29844625434475 |
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 |
19350bv1 19350br1 |
Quadratic twists by: -3 5 |