Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bu |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2603446790400000000 = 214 · 310 · 58 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-381408,-46706688] |
[a1,a2,a3,a4,a6] |
Generators |
[682:3150:1] |
Generators of the group modulo torsion |
j |
95876963491609/40678856100 |
j-invariant |
L |
3.6728907285978 |
L(r)(E,1)/r! |
Ω |
0.19956282004747 |
Real period |
R |
4.6011710858051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051679 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12450v2 19920l2 |
Quadratic twists by: -4 5 |