Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kz |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3109155840 = 210 · 36 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365,-285] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:36:1] |
Generators of the group modulo torsion |
j |
5266130944/3036285 |
j-invariant |
L |
7.7752636455318 |
L(r)(E,1)/r! |
Ω |
1.1901832192265 |
Real period |
R |
1.0888048628069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bv1 28560n1 |
Quadratic twists by: -4 8 |