Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19176b |
Isogeny class |
Conductor |
19176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-281657088 = -1 · 28 · 34 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188,-1344] |
[a1,a2,a3,a4,a6] |
Generators |
[19:48:1] |
Generators of the group modulo torsion |
j |
-2885794000/1100223 |
j-invariant |
L |
6.3198816401052 |
L(r)(E,1)/r! |
Ω |
0.63239261078068 |
Real period |
R |
2.4984011246998 |
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 |
38352d1 57528i1 |
Quadratic twists by: -4 -3 |