Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245b |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
23981275125 = 312 · 53 · 192 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1938,-31982] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2:1] |
Generators of the group modulo torsion |
j |
3058794496/91125 |
j-invariant |
L |
4.4620404829793 |
L(r)(E,1)/r! |
Ω |
0.72086255685267 |
Real period |
R |
3.0949315098712 |
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 |
5415e1 81225x1 16245a1 |
Quadratic twists by: -3 5 -19 |