Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720ct |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-386326149693440 = -1 · 215 · 5 · 119 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11+ 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104705,13109857] |
[a1,a2,a3,a4,a6] |
Generators |
[807:21296:1] |
Generators of the group modulo torsion |
j |
-1643032/5 |
j-invariant |
L |
5.0756945649295 |
L(r)(E,1)/r! |
Ω |
0.53656057706734 |
Real period |
R |
2.3649214934265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720cq1 19360n1 38720cu1 |
Quadratic twists by: -4 8 -11 |