Atkin-Lehner |
2+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950j |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
27166000000000 = 210 · 59 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 1 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8076,-123702] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-2089:1] |
Generators of the group modulo torsion |
j |
29819839301/13908992 |
j-invariant |
L |
5.29935239258 |
L(r)(E,1)/r! |
Ω |
0.52683386197772 |
Real period |
R |
1.2573585277637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950v1 |
Quadratic twists by: 5 |