Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400bn |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-24326963200 = -1 · 225 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2540,-49840] |
[a1,a2,a3,a4,a6] |
Generators |
[61:149:1] [154:1792:1] |
Generators of the group modulo torsion |
j |
-276531705/3712 |
j-invariant |
L |
9.1967130347762 |
L(r)(E,1)/r! |
Ω |
0.33598066214294 |
Real period |
R |
6.8431862834892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400c1 11600z1 46400cj1 |
Quadratic twists by: -4 8 5 |