Atkin-Lehner |
2- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896f |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-5444959148355584 = -1 · 212 · 115 · 134 · 172 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11+ 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160501,25056317] |
[a1,a2,a3,a4,a6] |
Generators |
[332:2873:1] |
Generators of the group modulo torsion |
j |
-111634825505112064/1329335729579 |
j-invariant |
L |
2.8268880551211 |
L(r)(E,1)/r! |
Ω |
0.43045425588711 |
Real period |
R |
1.6418051491287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2431a1 |
Quadratic twists by: -4 |