Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600dz |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-59691453120000000 = -1 · 212 · 315 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40200,11338000] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:900:1] [-64:2916:1] |
Generators of the group modulo torsion |
j |
153990656/1279395 |
j-invariant |
L |
10.881883946321 |
L(r)(E,1)/r! |
Ω |
0.25673367896961 |
Real period |
R |
1.3245588763273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600dv1 31200t1 18720p1 |
Quadratic twists by: -4 -3 5 |