Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152bw |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-162894633863472 = -1 · 24 · 313 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1020,-614189] |
[a1,a2,a3,a4,a6] |
Generators |
[6245:493506:1] |
Generators of the group modulo torsion |
j |
-10061824000/13965589323 |
j-invariant |
L |
5.6503651979107 |
L(r)(E,1)/r! |
Ω |
0.25961543050829 |
Real period |
R |
5.4410914509666 |
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 |
4788a1 76608es1 6384bf1 |
Quadratic twists by: -4 8 -3 |