Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350bz |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
5877562500 = 22 · 37 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-455,-453] |
[a1,a2,a3,a4,a6] |
Generators |
[39:180:1] |
Generators of the group modulo torsion |
j |
912673/516 |
j-invariant |
L |
8.5843633611347 |
L(r)(E,1)/r! |
Ω |
1.1145609431778 |
Real period |
R |
1.925503359345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450b1 774e1 |
Quadratic twists by: -3 5 |