Atkin-Lehner |
2- 3+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050bx |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
39763872000 = 28 · 34 · 53 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1358,-17269] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:55:1] |
Generators of the group modulo torsion |
j |
2215812441653/318110976 |
j-invariant |
L |
9.0931050348237 |
L(r)(E,1)/r! |
Ω |
0.79397984138607 |
Real period |
R |
0.71578525833111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999788897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100050bi1 |
Quadratic twists by: 5 |