Atkin-Lehner |
2- 3+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422l |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-256020804 = -1 · 22 · 33 · 134 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 5 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82,-735] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
2284322013/9482252 |
j-invariant |
L |
7.2390959529839 |
L(r)(E,1)/r! |
Ω |
0.88559784466716 |
Real period |
R |
0.51089046770607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19422d1 |
Quadratic twists by: -3 |