Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800z |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1297787500000000 = 28 · 511 · 473 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176908,-28646312] |
[a1,a2,a3,a4,a6] |
Generators |
[-51042:29375:216] |
Generators of the group modulo torsion |
j |
153076524671824/324446875 |
j-invariant |
L |
5.8731699573718 |
L(r)(E,1)/r! |
Ω |
0.23281866016485 |
Real period |
R |
2.1021976049276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700a1 75200cx1 3760f1 |
Quadratic twists by: -4 8 5 |