Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300x |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-53312879648000 = -1 · 28 · 53 · 78 · 172 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,-351448] |
[a1,a2,a3,a4,a6] |
Generators |
[82:490:1] |
Generators of the group modulo torsion |
j |
112/289 |
j-invariant |
L |
5.9537719192792 |
L(r)(E,1)/r! |
Ω |
0.29252893202526 |
Real period |
R |
0.56535451766594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300z1 83300bj1 |
Quadratic twists by: 5 -7 |