Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350a |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
7256250000 = 24 · 33 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,3341] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:63:1] |
Generators of the group modulo torsion |
j |
47832147/17200 |
j-invariant |
L |
4.0599983459124 |
L(r)(E,1)/r! |
Ω |
1.2130266665533 |
Real period |
R |
0.83674960696627 |
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 |
19350bo1 3870l1 |
Quadratic twists by: -3 5 |