Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900a |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
6589200 = 24 · 3 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2498,48897] |
[a1,a2,a3,a4,a6] |
Generators |
[31:17:1] [16:113:1] |
Generators of the group modulo torsion |
j |
4311365758720/16473 |
j-invariant |
L |
9.3328050086526 |
L(r)(E,1)/r! |
Ω |
2.0831646342436 |
Real period |
R |
0.74668486388299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900bp1 |
Quadratic twists by: 5 |