Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300j |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-12800211200 = -1 · 28 · 52 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,1588] |
[a1,a2,a3,a4,a6] |
Generators |
[94263:718502:2197] |
Generators of the group modulo torsion |
j |
27440/17 |
j-invariant |
L |
7.1751307434319 |
L(r)(E,1)/r! |
Ω |
0.78069552052615 |
Real period |
R |
9.1906902928941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300bk1 1700b1 |
Quadratic twists by: 5 -7 |