Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bx |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-26453760000000 = -1 · 214 · 3 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22008,-1273488] |
[a1,a2,a3,a4,a6] |
Generators |
[285796:8103600:343] |
Generators of the group modulo torsion |
j |
-18420660721/413340 |
j-invariant |
L |
5.7720286819446 |
L(r)(E,1)/r! |
Ω |
0.19572495235669 |
Real period |
R |
7.3726275105147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450e1 19920p1 |
Quadratic twists by: -4 5 |